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Finding the Fourth Proportional to 47,165.70, 70,748.55 and 16,001.22

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Solution

The fourth proportional to 47,165.70, 70,748.55 and 16,001.22 is: 24,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,165.70 : 70,748.55 = 16,001.22 : x
  2. Step 2: Convert to fraction form
    47,165.70/70,748.55 = 16,001.22/x
  3. Step 3: Cross multiply
    47,165.70x = 70,748.55 × 16,001.22
  4. Step 4: Simplify right side
    47,165.70x = 1,132,063,113.23
  5. Step 5: Solve for x
    x = 1,132,063,113.23/47,165.70
  6. Step 6: Final answer
    x = 24,001.83

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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.