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Finding the Fourth Proportional to 48,754.71, 67,285.62 and 27,537.84

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Solution

The fourth proportional to 48,754.71, 67,285.62 and 27,537.84 is: 38,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,754.71 : 67,285.62 = 27,537.84 : x
  2. Step 2: Convert to fraction form
    48,754.71/67,285.62 = 27,537.84/x
  3. Step 3: Cross multiply
    48,754.71x = 67,285.62 × 27,537.84
  4. Step 4: Simplify right side
    48,754.71x = 1,852,900,637.86
  5. Step 5: Solve for x
    x = 1,852,900,637.86/48,754.71
  6. Step 6: Final answer
    x = 38,004.55

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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.