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Finding the Fourth Proportional to 48,768, 73,137.15 and 25,381.68

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Solution

The fourth proportional to 48,768, 73,137.15 and 25,381.68 is: 38,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768 : 73,137.15 = 25,381.68 : x
  2. Step 2: Convert to fraction form
    48,768/73,137.15 = 25,381.68/x
  3. Step 3: Cross multiply
    48,768x = 73,137.15 × 25,381.68
  4. Step 4: Simplify right side
    48,768x = 1,856,343,737.41
  5. Step 5: Solve for x
    x = 1,856,343,737.41/48,768
  6. Step 6: Final answer
    x = 38,064.79

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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.