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Finding the Fourth Proportional to 48,060.84, 66,317.76 and 27,641.82

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Solution

The fourth proportional to 48,060.84, 66,317.76 and 27,641.82 is: 38,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,060.84 : 66,317.76 = 27,641.82 : x
  2. Step 2: Convert to fraction form
    48,060.84/66,317.76 = 27,641.82/x
  3. Step 3: Cross multiply
    48,060.84x = 66,317.76 × 27,641.82
  4. Step 4: Simplify right side
    48,060.84x = 1,833,143,584.72
  5. Step 5: Solve for x
    x = 1,833,143,584.72/48,060.84
  6. Step 6: Final answer
    x = 38,142.15

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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.