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Finding the Fourth Proportional to 32,562.28, 48,862.78 and 14,549.10

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Solution

The fourth proportional to 32,562.28, 48,862.78 and 14,549.10 is: 21,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562.28 : 48,862.78 = 14,549.10 : x
  2. Step 2: Convert to fraction form
    32,562.28/48,862.78 = 14,549.10/x
  3. Step 3: Cross multiply
    32,562.28x = 48,862.78 × 14,549.10
  4. Step 4: Simplify right side
    32,562.28x = 710,909,472.50
  5. Step 5: Solve for x
    x = 710,909,472.50/32,562.28
  6. Step 6: Final answer
    x = 21,832.30

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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.