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Finding the Fourth Proportional to 59,422.86, 82,002.24 and 32,564.79

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Solution

The fourth proportional to 59,422.86, 82,002.24 and 32,564.79 is: 44,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,422.86 : 82,002.24 = 32,564.79 : x
  2. Step 2: Convert to fraction form
    59,422.86/82,002.24 = 32,564.79/x
  3. Step 3: Cross multiply
    59,422.86x = 82,002.24 × 32,564.79
  4. Step 4: Simplify right side
    59,422.86x = 2,670,385,725.13
  5. Step 5: Solve for x
    x = 2,670,385,725.13/59,422.86
  6. Step 6: Final answer
    x = 44,938.69

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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.