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Finding the Fourth Proportional to 32,736.78, 45,149.07 and 27,657.30

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Solution

The fourth proportional to 32,736.78, 45,149.07 and 27,657.30 is: 38,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,736.78 : 45,149.07 = 27,657.30 : x
  2. Step 2: Convert to fraction form
    32,736.78/45,149.07 = 27,657.30/x
  3. Step 3: Cross multiply
    32,736.78x = 45,149.07 × 27,657.30
  4. Step 4: Simplify right side
    32,736.78x = 1,248,701,373.71
  5. Step 5: Solve for x
    x = 1,248,701,373.71/32,736.78
  6. Step 6: Final answer
    x = 38,143.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.