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Finding the Fourth Proportional to 59,709.70, 82,411.17 and 34,233.18

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Solution

The fourth proportional to 59,709.70, 82,411.17 and 34,233.18 is: 47,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,709.70 : 82,411.17 = 34,233.18 : x
  2. Step 2: Convert to fraction form
    59,709.70/82,411.17 = 34,233.18/x
  3. Step 3: Cross multiply
    59,709.70x = 82,411.17 × 34,233.18
  4. Step 4: Simplify right side
    59,709.70x = 2,821,196,416.62
  5. Step 5: Solve for x
    x = 2,821,196,416.62/59,709.70
  6. Step 6: Final answer
    x = 47,248.54

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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.