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Finding the Fourth Proportional to 47,402.42, 71,076.11 and 22,442.25

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Solution

The fourth proportional to 47,402.42, 71,076.11 and 22,442.25 is: 33,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,402.42 : 71,076.11 = 22,442.25 : x
  2. Step 2: Convert to fraction form
    47,402.42/71,076.11 = 22,442.25/x
  3. Step 3: Cross multiply
    47,402.42x = 71,076.11 × 22,442.25
  4. Step 4: Simplify right side
    47,402.42x = 1,595,108,089.16
  5. Step 5: Solve for x
    x = 1,595,108,089.16/47,402.42
  6. Step 6: Final answer
    x = 33,650.35

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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.