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Finding the Fourth Proportional to 32,064.98, 48,098.29 and 15,194.03

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Solution

The fourth proportional to 32,064.98, 48,098.29 and 15,194.03 is: 22,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.98 : 48,098.29 = 15,194.03 : x
  2. Step 2: Convert to fraction form
    32,064.98/48,098.29 = 15,194.03/x
  3. Step 3: Cross multiply
    32,064.98x = 48,098.29 × 15,194.03
  4. Step 4: Simplify right side
    32,064.98x = 730,806,861.21
  5. Step 5: Solve for x
    x = 730,806,861.21/32,064.98
  6. Step 6: Final answer
    x = 22,791.43

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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.