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Finding the Fourth Proportional to 48,535.14, 66,978.48 and 27,314.52

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Solution

The fourth proportional to 48,535.14, 66,978.48 and 27,314.52 is: 37,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,535.14 : 66,978.48 = 27,314.52 : x
  2. Step 2: Convert to fraction form
    48,535.14/66,978.48 = 27,314.52/x
  3. Step 3: Cross multiply
    48,535.14x = 66,978.48 × 27,314.52
  4. Step 4: Simplify right side
    48,535.14x = 1,829,485,031.53
  5. Step 5: Solve for x
    x = 1,829,485,031.53/48,535.14
  6. Step 6: Final answer
    x = 37,694.03

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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.