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Finding the Fourth Proportional to 48,672, 67,177.16 and 27,451.68

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Solution

The fourth proportional to 48,672, 67,177.16 and 27,451.68 is: 37,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,672 : 67,177.16 = 27,451.68 : x
  2. Step 2: Convert to fraction form
    48,672/67,177.16 = 27,451.68/x
  3. Step 3: Cross multiply
    48,672x = 67,177.16 × 27,451.68
  4. Step 4: Simplify right side
    48,672x = 1,844,125,899.63
  5. Step 5: Solve for x
    x = 1,844,125,899.63/48,672
  6. Step 6: Final answer
    x = 37,888.85

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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.