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Finding the Fourth Proportional to 84,402.50, 116,470.72 and 46,154.46

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Solution

The fourth proportional to 84,402.50, 116,470.72 and 46,154.46 is: 63,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,402.50 : 116,470.72 = 46,154.46 : x
  2. Step 2: Convert to fraction form
    84,402.50/116,470.72 = 46,154.46/x
  3. Step 3: Cross multiply
    84,402.50x = 116,470.72 × 46,154.46
  4. Step 4: Simplify right side
    84,402.50x = 5,375,643,187.41
  5. Step 5: Solve for x
    x = 5,375,643,187.41/84,402.50
  6. Step 6: Final answer
    x = 63,690.57

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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.