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Finding the Fourth Proportional to 38,102.88, 52,581.90 and 21,335.88

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Solution

The fourth proportional to 38,102.88, 52,581.90 and 21,335.88 is: 29,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.88 : 52,581.90 = 21,335.88 : x
  2. Step 2: Convert to fraction form
    38,102.88/52,581.90 = 21,335.88/x
  3. Step 3: Cross multiply
    38,102.88x = 52,581.90 × 21,335.88
  4. Step 4: Simplify right side
    38,102.88x = 1,121,881,108.57
  5. Step 5: Solve for x
    x = 1,121,881,108.57/38,102.88
  6. Step 6: Final answer
    x = 29,443.47

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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.