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Finding the Fourth Proportional to 59,642.64, 82,335.02 and 37,849.89

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Solution

The fourth proportional to 59,642.64, 82,335.02 and 37,849.89 is: 52,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,642.64 : 82,335.02 = 37,849.89 : x
  2. Step 2: Convert to fraction form
    59,642.64/82,335.02 = 37,849.89/x
  3. Step 3: Cross multiply
    59,642.64x = 82,335.02 × 37,849.89
  4. Step 4: Simplify right side
    59,642.64x = 3,116,371,569.65
  5. Step 5: Solve for x
    x = 3,116,371,569.65/59,642.64
  6. Step 6: Final answer
    x = 52,250.73

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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.