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Finding the Fourth Proportional to 48,959.62, 67,564.11 and 27,742.93

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Solution

The fourth proportional to 48,959.62, 67,564.11 and 27,742.93 is: 38,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,959.62 : 67,564.11 = 27,742.93 : x
  2. Step 2: Convert to fraction form
    48,959.62/67,564.11 = 27,742.93/x
  3. Step 3: Cross multiply
    48,959.62x = 67,564.11 × 27,742.93
  4. Step 4: Simplify right side
    48,959.62x = 1,874,426,374.24
  5. Step 5: Solve for x
    x = 1,874,426,374.24/48,959.62
  6. Step 6: Final answer
    x = 38,285.15

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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.