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Finding the Fourth Proportional to 89,339.42, 123,290.16 and 49,052.83

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Solution

The fourth proportional to 89,339.42, 123,290.16 and 49,052.83 is: 67,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,339.42 : 123,290.16 = 49,052.83 : x
  2. Step 2: Convert to fraction form
    89,339.42/123,290.16 = 49,052.83/x
  3. Step 3: Cross multiply
    89,339.42x = 123,290.16 × 49,052.83
  4. Step 4: Simplify right side
    89,339.42x = 6,047,731,637.38
  5. Step 5: Solve for x
    x = 6,047,731,637.38/89,339.42
  6. Step 6: Final answer
    x = 67,693.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.