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Finding the Fourth Proportional to 59,722.30, 82,415.03 and 32,864.79

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Solution

The fourth proportional to 59,722.30, 82,415.03 and 32,864.79 is: 45,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,722.30 : 82,415.03 = 32,864.79 : x
  2. Step 2: Convert to fraction form
    59,722.30/82,415.03 = 32,864.79/x
  3. Step 3: Cross multiply
    59,722.30x = 82,415.03 × 32,864.79
  4. Step 4: Simplify right side
    59,722.30x = 2,708,552,489.47
  5. Step 5: Solve for x
    x = 2,708,552,489.47/59,722.30
  6. Step 6: Final answer
    x = 45,352.45

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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.