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Finding the Fourth Proportional to 38,102.13, 52,580.88 and 21,335.13

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Solution

The fourth proportional to 38,102.13, 52,580.88 and 21,335.13 is: 29,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.13 : 52,580.88 = 21,335.13 : x
  2. Step 2: Convert to fraction form
    38,102.13/52,580.88 = 21,335.13/x
  3. Step 3: Cross multiply
    38,102.13x = 52,580.88 × 21,335.13
  4. Step 4: Simplify right side
    38,102.13x = 1,121,819,910.31
  5. Step 5: Solve for x
    x = 1,121,819,910.31/38,102.13
  6. Step 6: Final answer
    x = 29,442.45

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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.