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Finding the Fourth Proportional to 32,407.89, 48,613.37 and 15,748.08

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Solution

The fourth proportional to 32,407.89, 48,613.37 and 15,748.08 is: 23,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.89 : 48,613.37 = 15,748.08 : x
  2. Step 2: Convert to fraction form
    32,407.89/48,613.37 = 15,748.08/x
  3. Step 3: Cross multiply
    32,407.89x = 48,613.37 × 15,748.08
  4. Step 4: Simplify right side
    32,407.89x = 765,566,996.76
  5. Step 5: Solve for x
    x = 765,566,996.76/32,407.89
  6. Step 6: Final answer
    x = 23,622.86

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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.