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Finding the Fourth Proportional to 35,520.78, 53,281.20 and 12,147.42

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Solution

The fourth proportional to 35,520.78, 53,281.20 and 12,147.42 is: 18,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,520.78 : 53,281.20 = 12,147.42 : x
  2. Step 2: Convert to fraction form
    35,520.78/53,281.20 = 12,147.42/x
  3. Step 3: Cross multiply
    35,520.78x = 53,281.20 × 12,147.42
  4. Step 4: Simplify right side
    35,520.78x = 647,229,114.50
  5. Step 5: Solve for x
    x = 647,229,114.50/35,520.78
  6. Step 6: Final answer
    x = 18,221.14

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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.