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Finding the Fourth Proportional to 59,665.38, 82,340.10 and 32,809.83

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Solution

The fourth proportional to 59,665.38, 82,340.10 and 32,809.83 is: 45,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,665.38 : 82,340.10 = 32,809.83 : x
  2. Step 2: Convert to fraction form
    59,665.38/82,340.10 = 32,809.83/x
  3. Step 3: Cross multiply
    59,665.38x = 82,340.10 × 32,809.83
  4. Step 4: Simplify right side
    59,665.38x = 2,701,564,683.18
  5. Step 5: Solve for x
    x = 2,701,564,683.18/59,665.38
  6. Step 6: Final answer
    x = 45,278.60

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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.