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Finding the Fourth Proportional to 55,892.80, 83,839.20 and 18,458.65

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Solution

The fourth proportional to 55,892.80, 83,839.20 and 18,458.65 is: 27,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892.80 : 83,839.20 = 18,458.65 : x
  2. Step 2: Convert to fraction form
    55,892.80/83,839.20 = 18,458.65/x
  3. Step 3: Cross multiply
    55,892.80x = 83,839.20 × 18,458.65
  4. Step 4: Simplify right side
    55,892.80x = 1,547,558,449.08
  5. Step 5: Solve for x
    x = 1,547,558,449.08/55,892.80
  6. Step 6: Final answer
    x = 27,687.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.