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Finding the Fourth Proportional to 89,446.32, 123,384.53 and 55,854

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Solution

The fourth proportional to 89,446.32, 123,384.53 and 55,854 is: 77,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,446.32 : 123,384.53 = 55,854 : x
  2. Step 2: Convert to fraction form
    89,446.32/123,384.53 = 55,854/x
  3. Step 3: Cross multiply
    89,446.32x = 123,384.53 × 55,854
  4. Step 4: Simplify right side
    89,446.32x = 6,891,519,259.35
  5. Step 5: Solve for x
    x = 6,891,519,259.35/89,446.32
  6. Step 6: Final answer
    x = 77,046.43

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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.