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Finding the Fourth Proportional to 42,457.80, 63,686.70 and 38,521.20

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Solution

The fourth proportional to 42,457.80, 63,686.70 and 38,521.20 is: 57,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,457.80 : 63,686.70 = 38,521.20 : x
  2. Step 2: Convert to fraction form
    42,457.80/63,686.70 = 38,521.20/x
  3. Step 3: Cross multiply
    42,457.80x = 63,686.70 × 38,521.20
  4. Step 4: Simplify right side
    42,457.80x = 2,453,288,108.04
  5. Step 5: Solve for x
    x = 2,453,288,108.04/42,457.80
  6. Step 6: Final answer
    x = 57,781.80

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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.