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Finding the Fourth Proportional to 76,553.92, 114,830.88 and 41,715

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Solution

The fourth proportional to 76,553.92, 114,830.88 and 41,715 is: 62,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,553.92 : 114,830.88 = 41,715 : x
  2. Step 2: Convert to fraction form
    76,553.92/114,830.88 = 41,715/x
  3. Step 3: Cross multiply
    76,553.92x = 114,830.88 × 41,715
  4. Step 4: Simplify right side
    76,553.92x = 4,790,170,159.20
  5. Step 5: Solve for x
    x = 4,790,170,159.20/76,553.92
  6. Step 6: Final answer
    x = 62,572.50

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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.