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Finding the Fourth Proportional to 48,013.86, 66,248.51 and 27,859.06

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Solution

The fourth proportional to 48,013.86, 66,248.51 and 27,859.06 is: 38,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,013.86 : 66,248.51 = 27,859.06 : x
  2. Step 2: Convert to fraction form
    48,013.86/66,248.51 = 27,859.06/x
  3. Step 3: Cross multiply
    48,013.86x = 66,248.51 × 27,859.06
  4. Step 4: Simplify right side
    48,013.86x = 1,845,621,215.00
  5. Step 5: Solve for x
    x = 1,845,621,215.00/48,013.86
  6. Step 6: Final answer
    x = 38,439.34

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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.