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Finding the Fourth Proportional to 76,549.92, 114,824.88 and 41,711

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Solution

The fourth proportional to 76,549.92, 114,824.88 and 41,711 is: 62,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.92 : 114,824.88 = 41,711 : x
  2. Step 2: Convert to fraction form
    76,549.92/114,824.88 = 41,711/x
  3. Step 3: Cross multiply
    76,549.92x = 114,824.88 × 41,711
  4. Step 4: Simplify right side
    76,549.92x = 4,789,460,569.68
  5. Step 5: Solve for x
    x = 4,789,460,569.68/76,549.92
  6. Step 6: Final answer
    x = 62,566.50

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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.