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Finding the Fourth Proportional to 59,847.23, 82,563 and 39,402.92

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Solution

The fourth proportional to 59,847.23, 82,563 and 39,402.92 is: 54,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,847.23 : 82,563 = 39,402.92 : x
  2. Step 2: Convert to fraction form
    59,847.23/82,563 = 39,402.92/x
  3. Step 3: Cross multiply
    59,847.23x = 82,563 × 39,402.92
  4. Step 4: Simplify right side
    59,847.23x = 3,253,223,490.37
  5. Step 5: Solve for x
    x = 3,253,223,490.37/59,847.23
  6. Step 6: Final answer
    x = 54,358.80

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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.