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Finding the Fourth Proportional to 82,920.70, 114,430.08 and 45,194.14

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Solution

The fourth proportional to 82,920.70, 114,430.08 and 45,194.14 is: 62,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920.70 : 114,430.08 = 45,194.14 : x
  2. Step 2: Convert to fraction form
    82,920.70/114,430.08 = 45,194.14/x
  3. Step 3: Cross multiply
    82,920.70x = 114,430.08 × 45,194.14
  4. Step 4: Simplify right side
    82,920.70x = 5,171,569,055.73
  5. Step 5: Solve for x
    x = 5,171,569,055.73/82,920.70
  6. Step 6: Final answer
    x = 62,367.65

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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.