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Finding the Fourth Proportional to 84,403.52, 116,472.12 and 46,155.46

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Solution

The fourth proportional to 84,403.52, 116,472.12 and 46,155.46 is: 63,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,403.52 : 116,472.12 = 46,155.46 : x
  2. Step 2: Convert to fraction form
    84,403.52/116,472.12 = 46,155.46/x
  3. Step 3: Cross multiply
    84,403.52x = 116,472.12 × 46,155.46
  4. Step 4: Simplify right side
    84,403.52x = 5,375,824,275.78
  5. Step 5: Solve for x
    x = 5,375,824,275.78/84,403.52
  6. Step 6: Final answer
    x = 63,691.94

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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.