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Finding the Fourth Proportional to 32,001.66, 48,000.68 and 9,814.97

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Solution

The fourth proportional to 32,001.66, 48,000.68 and 9,814.97 is: 14,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.66 : 48,000.68 = 9,814.97 : x
  2. Step 2: Convert to fraction form
    32,001.66/48,000.68 = 9,814.97/x
  3. Step 3: Cross multiply
    32,001.66x = 48,000.68 × 9,814.97
  4. Step 4: Simplify right side
    32,001.66x = 471,125,378.72
  5. Step 5: Solve for x
    x = 471,125,378.72/32,001.66
  6. Step 6: Final answer
    x = 14,721.90

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1.5x scale

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.