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Finding the Fourth Proportional to 105,024.70, 144,928.31 and 59,696.38

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Solution

The fourth proportional to 105,024.70, 144,928.31 and 59,696.38 is: 82,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,024.70 : 144,928.31 = 59,696.38 : x
  2. Step 2: Convert to fraction form
    105,024.70/144,928.31 = 59,696.38/x
  3. Step 3: Cross multiply
    105,024.70x = 144,928.31 × 59,696.38
  4. Step 4: Simplify right side
    105,024.70x = 8,651,695,466.52
  5. Step 5: Solve for x
    x = 8,651,695,466.52/105,024.70
  6. Step 6: Final answer
    x = 82,377.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.