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Finding the Fourth Proportional to 59,680, 82,338.24 and 34,520.32

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Solution

The fourth proportional to 59,680, 82,338.24 and 34,520.32 is: 47,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,680 : 82,338.24 = 34,520.32 : x
  2. Step 2: Convert to fraction form
    59,680/82,338.24 = 34,520.32/x
  3. Step 3: Cross multiply
    59,680x = 82,338.24 × 34,520.32
  4. Step 4: Simplify right side
    59,680x = 2,842,342,393.04
  5. Step 5: Solve for x
    x = 2,842,342,393.04/59,680
  6. Step 6: Final answer
    x = 47,626.38

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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.