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Finding the Fourth Proportional to 84,400.76, 116,468.32 and 46,152.70

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Solution

The fourth proportional to 84,400.76, 116,468.32 and 46,152.70 is: 63,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,400.76 : 116,468.32 = 46,152.70 : x
  2. Step 2: Convert to fraction form
    84,400.76/116,468.32 = 46,152.70/x
  3. Step 3: Cross multiply
    84,400.76x = 116,468.32 × 46,152.70
  4. Step 4: Simplify right side
    84,400.76x = 5,375,327,432.46
  5. Step 5: Solve for x
    x = 5,375,327,432.46/84,400.76
  6. Step 6: Final answer
    x = 63,688.14

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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.