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Finding the Fourth Proportional to 30,542.92, 45,843.54 and 15,762.04

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Solution

The fourth proportional to 30,542.92, 45,843.54 and 15,762.04 is: 23,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.92 : 45,843.54 = 15,762.04 : x
  2. Step 2: Convert to fraction form
    30,542.92/45,843.54 = 15,762.04/x
  3. Step 3: Cross multiply
    30,542.92x = 45,843.54 × 15,762.04
  4. Step 4: Simplify right side
    30,542.92x = 722,587,711.22
  5. Step 5: Solve for x
    x = 722,587,711.22/30,542.92
  6. Step 6: Final answer
    x = 23,658.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.