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Finding the Fourth Proportional to 38,501.70, 57,643.20 and 29,680.80

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Solution

The fourth proportional to 38,501.70, 57,643.20 and 29,680.80 is: 44,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.70 : 57,643.20 = 29,680.80 : x
  2. Step 2: Convert to fraction form
    38,501.70/57,643.20 = 29,680.80/x
  3. Step 3: Cross multiply
    38,501.70x = 57,643.20 × 29,680.80
  4. Step 4: Simplify right side
    38,501.70x = 1,710,896,290.56
  5. Step 5: Solve for x
    x = 1,710,896,290.56/38,501.70
  6. Step 6: Final answer
    x = 44,436.90

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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.