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Finding the Fourth Proportional to 60,429.92, 83,405.12 and 38,612.16

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Solution

The fourth proportional to 60,429.92, 83,405.12 and 38,612.16 is: 53,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,429.92 : 83,405.12 = 38,612.16 : x
  2. Step 2: Convert to fraction form
    60,429.92/83,405.12 = 38,612.16/x
  3. Step 3: Cross multiply
    60,429.92x = 83,405.12 × 38,612.16
  4. Step 4: Simplify right side
    60,429.92x = 3,220,451,838.26
  5. Step 5: Solve for x
    x = 3,220,451,838.26/60,429.92
  6. Step 6: Final answer
    x = 53,292.34

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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.