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Finding the Fourth Proportional to 48,115.28, 66,403.68 and 27,970.40

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Solution

The fourth proportional to 48,115.28, 66,403.68 and 27,970.40 is: 38,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,115.28 : 66,403.68 = 27,970.40 : x
  2. Step 2: Convert to fraction form
    48,115.28/66,403.68 = 27,970.40/x
  3. Step 3: Cross multiply
    48,115.28x = 66,403.68 × 27,970.40
  4. Step 4: Simplify right side
    48,115.28x = 1,857,337,491.07
  5. Step 5: Solve for x
    x = 1,857,337,491.07/48,115.28
  6. Step 6: Final answer
    x = 38,601.82

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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.