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Finding the Fourth Proportional to 41,572, 62,380.56 and 24,076

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Solution

The fourth proportional to 41,572, 62,380.56 and 24,076 is: 36,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,572 : 62,380.56 = 24,076 : x
  2. Step 2: Convert to fraction form
    41,572/62,380.56 = 24,076/x
  3. Step 3: Cross multiply
    41,572x = 62,380.56 × 24,076
  4. Step 4: Simplify right side
    41,572x = 1,501,874,362.56
  5. Step 5: Solve for x
    x = 1,501,874,362.56/41,572
  6. Step 6: Final answer
    x = 36,127.07

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