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Finding the Fourth Proportional to 32,000.91, 47,999.56 and 9,814.22

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Solution

The fourth proportional to 32,000.91, 47,999.56 and 9,814.22 is: 14,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.91 : 47,999.56 = 9,814.22 : x
  2. Step 2: Convert to fraction form
    32,000.91/47,999.56 = 9,814.22/x
  3. Step 3: Cross multiply
    32,000.91x = 47,999.56 × 9,814.22
  4. Step 4: Simplify right side
    32,000.91x = 471,078,374.01
  5. Step 5: Solve for x
    x = 471,078,374.01/32,000.91
  6. Step 6: Final answer
    x = 14,720.78

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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.