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Finding the Fourth Proportional to 65,315.50, 90,114.10 and 38,085.43

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Solution

The fourth proportional to 65,315.50, 90,114.10 and 38,085.43 is: 52,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,315.50 : 90,114.10 = 38,085.43 : x
  2. Step 2: Convert to fraction form
    65,315.50/90,114.10 = 38,085.43/x
  3. Step 3: Cross multiply
    65,315.50x = 90,114.10 × 38,085.43
  4. Step 4: Simplify right side
    65,315.50x = 3,432,034,103.20
  5. Step 5: Solve for x
    x = 3,432,034,103.20/65,315.50
  6. Step 6: Final answer
    x = 52,545.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.