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Finding the Fourth Proportional to 106,706.31, 160,059.47 and 36,586.23

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Solution

The fourth proportional to 106,706.31, 160,059.47 and 36,586.23 is: 54,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,706.31 : 160,059.47 = 36,586.23 : x
  2. Step 2: Convert to fraction form
    106,706.31/160,059.47 = 36,586.23/x
  3. Step 3: Cross multiply
    106,706.31x = 160,059.47 × 36,586.23
  4. Step 4: Simplify right side
    106,706.31x = 5,855,972,400.17
  5. Step 5: Solve for x
    x = 5,855,972,400.17/106,706.31
  6. Step 6: Final answer
    x = 54,879.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.