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Finding the Fourth Proportional to 48,503.96, 66,934.80 and 27,283.20

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Solution

The fourth proportional to 48,503.96, 66,934.80 and 27,283.20 is: 37,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,503.96 : 66,934.80 = 27,283.20 : x
  2. Step 2: Convert to fraction form
    48,503.96/66,934.80 = 27,283.20/x
  3. Step 3: Cross multiply
    48,503.96x = 66,934.80 × 27,283.20
  4. Step 4: Simplify right side
    48,503.96x = 1,826,195,535.36
  5. Step 5: Solve for x
    x = 1,826,195,535.36/48,503.96
  6. Step 6: Final answer
    x = 37,650.44

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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.