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Finding the Fourth Proportional to 59,724.15, 82,417.26 and 32,864.15

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Solution

The fourth proportional to 59,724.15, 82,417.26 and 32,864.15 is: 45,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,724.15 : 82,417.26 = 32,864.15 : x
  2. Step 2: Convert to fraction form
    59,724.15/82,417.26 = 32,864.15/x
  3. Step 3: Cross multiply
    59,724.15x = 82,417.26 × 32,864.15
  4. Step 4: Simplify right side
    59,724.15x = 2,708,573,060.92
  5. Step 5: Solve for x
    x = 2,708,573,060.92/59,724.15
  6. Step 6: Final answer
    x = 45,351.39

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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.