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Finding the Fourth Proportional to 48,851.76, 67,405.32 and 27,636.24

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Solution

The fourth proportional to 48,851.76, 67,405.32 and 27,636.24 is: 38,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,851.76 : 67,405.32 = 27,636.24 : x
  2. Step 2: Convert to fraction form
    48,851.76/67,405.32 = 27,636.24/x
  3. Step 3: Cross multiply
    48,851.76x = 67,405.32 × 27,636.24
  4. Step 4: Simplify right side
    48,851.76x = 1,862,829,600.80
  5. Step 5: Solve for x
    x = 1,862,829,600.80/48,851.76
  6. Step 6: Final answer
    x = 38,132.29

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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.