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Finding the Fourth Proportional to 48,438.57, 72,657.75 and 13,378.13

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Solution

The fourth proportional to 48,438.57, 72,657.75 and 13,378.13 is: 20,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438.57 : 72,657.75 = 13,378.13 : x
  2. Step 2: Convert to fraction form
    48,438.57/72,657.75 = 13,378.13/x
  3. Step 3: Cross multiply
    48,438.57x = 72,657.75 × 13,378.13
  4. Step 4: Simplify right side
    48,438.57x = 972,024,461.72
  5. Step 5: Solve for x
    x = 972,024,461.72/48,438.57
  6. Step 6: Final answer
    x = 20,067.16

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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.