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Finding the Fourth Proportional to 31,590.72, 47,385 and 9,404.10

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Solution

The fourth proportional to 31,590.72, 47,385 and 9,404.10 is: 14,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.72 : 47,385 = 9,404.10 : x
  2. Step 2: Convert to fraction form
    31,590.72/47,385 = 9,404.10/x
  3. Step 3: Cross multiply
    31,590.72x = 47,385 × 9,404.10
  4. Step 4: Simplify right side
    31,590.72x = 445,613,278.50
  5. Step 5: Solve for x
    x = 445,613,278.50/31,590.72
  6. Step 6: Final answer
    x = 14,105.83

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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.