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Finding the Fourth Proportional to 89,384.32, 123,350.32 and 49,099.20

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Solution

The fourth proportional to 89,384.32, 123,350.32 and 49,099.20 is: 67,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,384.32 : 123,350.32 = 49,099.20 : x
  2. Step 2: Convert to fraction form
    89,384.32/123,350.32 = 49,099.20/x
  3. Step 3: Cross multiply
    89,384.32x = 123,350.32 × 49,099.20
  4. Step 4: Simplify right side
    89,384.32x = 6,056,402,031.74
  5. Step 5: Solve for x
    x = 6,056,402,031.74/89,384.32
  6. Step 6: Final answer
    x = 67,756.87

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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.