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Finding the Fourth Proportional to 59,424.41, 82,005.80 and 32,567.91

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Solution

The fourth proportional to 59,424.41, 82,005.80 and 32,567.91 is: 44,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,424.41 : 82,005.80 = 32,567.91 : x
  2. Step 2: Convert to fraction form
    59,424.41/82,005.80 = 32,567.91/x
  3. Step 3: Cross multiply
    59,424.41x = 82,005.80 × 32,567.91
  4. Step 4: Simplify right side
    59,424.41x = 2,670,757,351.04
  5. Step 5: Solve for x
    x = 2,670,757,351.04/59,424.41
  6. Step 6: Final answer
    x = 44,943.78

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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.