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Finding the Fourth Proportional to 48,072.83, 66,340.79 and 27,930.12

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Solution

The fourth proportional to 48,072.83, 66,340.79 and 27,930.12 is: 38,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,072.83 : 66,340.79 = 27,930.12 : x
  2. Step 2: Convert to fraction form
    48,072.83/66,340.79 = 27,930.12/x
  3. Step 3: Cross multiply
    48,072.83x = 66,340.79 × 27,930.12
  4. Step 4: Simplify right side
    48,072.83x = 1,852,905,941.90
  5. Step 5: Solve for x
    x = 1,852,905,941.90/48,072.83
  6. Step 6: Final answer
    x = 38,543.73

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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.