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Finding the Fourth Proportional to 29,977.48, 44,966.22 and 10,256.20

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Solution

The fourth proportional to 29,977.48, 44,966.22 and 10,256.20 is: 15,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.48 : 44,966.22 = 10,256.20 : x
  2. Step 2: Convert to fraction form
    29,977.48/44,966.22 = 10,256.20/x
  3. Step 3: Cross multiply
    29,977.48x = 44,966.22 × 10,256.20
  4. Step 4: Simplify right side
    29,977.48x = 461,182,545.56
  5. Step 5: Solve for x
    x = 461,182,545.56/29,977.48
  6. Step 6: Final answer
    x = 15,384.30

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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.