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Finding the Fourth Proportional to 27,548, 38,116.32 and 24,018.56

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Solution

The fourth proportional to 27,548, 38,116.32 and 24,018.56 is: 33,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548 : 38,116.32 = 24,018.56 : x
  2. Step 2: Convert to fraction form
    27,548/38,116.32 = 24,018.56/x
  3. Step 3: Cross multiply
    27,548x = 38,116.32 × 24,018.56
  4. Step 4: Simplify right side
    27,548x = 915,499,118.90
  5. Step 5: Solve for x
    x = 915,499,118.90/27,548
  6. Step 6: Final answer
    x = 33,232.87

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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.