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Finding the Fourth Proportional to 48,593.52, 67,055.04 and 27,378

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Solution

The fourth proportional to 48,593.52, 67,055.04 and 27,378 is: 37,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,593.52 : 67,055.04 = 27,378 : x
  2. Step 2: Convert to fraction form
    48,593.52/67,055.04 = 27,378/x
  3. Step 3: Cross multiply
    48,593.52x = 67,055.04 × 27,378
  4. Step 4: Simplify right side
    48,593.52x = 1,835,832,885.12
  5. Step 5: Solve for x
    x = 1,835,832,885.12/48,593.52
  6. Step 6: Final answer
    x = 37,779.38

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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.