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Finding the Fourth Proportional to 38,257.52, 52,803.24 and 24,100.88

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Solution

The fourth proportional to 38,257.52, 52,803.24 and 24,100.88 is: 33,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257.52 : 52,803.24 = 24,100.88 : x
  2. Step 2: Convert to fraction form
    38,257.52/52,803.24 = 24,100.88/x
  3. Step 3: Cross multiply
    38,257.52x = 52,803.24 × 24,100.88
  4. Step 4: Simplify right side
    38,257.52x = 1,272,604,550.85
  5. Step 5: Solve for x
    x = 1,272,604,550.85/38,257.52
  6. Step 6: Final answer
    x = 33,264.17

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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.