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Finding the Fourth Proportional to 71,633.01, 107,412.44 and 32,156.13

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Solution

The fourth proportional to 71,633.01, 107,412.44 and 32,156.13 is: 48,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633.01 : 107,412.44 = 32,156.13 : x
  2. Step 2: Convert to fraction form
    71,633.01/107,412.44 = 32,156.13/x
  3. Step 3: Cross multiply
    71,633.01x = 107,412.44 × 32,156.13
  4. Step 4: Simplify right side
    71,633.01x = 3,453,968,223.48
  5. Step 5: Solve for x
    x = 3,453,968,223.48/71,633.01
  6. Step 6: Final answer
    x = 48,217.55

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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.