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Finding the Fourth Proportional to 76,411.16, 114,616.08 and 41,572.16

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Solution

The fourth proportional to 76,411.16, 114,616.08 and 41,572.16 is: 62,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411.16 : 114,616.08 = 41,572.16 : x
  2. Step 2: Convert to fraction form
    76,411.16/114,616.08 = 41,572.16/x
  3. Step 3: Cross multiply
    76,411.16x = 114,616.08 × 41,572.16
  4. Step 4: Simplify right side
    76,411.16x = 4,764,838,016.33
  5. Step 5: Solve for x
    x = 4,764,838,016.33/76,411.16
  6. Step 6: Final answer
    x = 62,357.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.