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Finding the Fourth Proportional to 38,117.76, 52,602.68 and 22,213.12

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Solution

The fourth proportional to 38,117.76, 52,602.68 and 22,213.12 is: 30,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,117.76 : 52,602.68 = 22,213.12 : x
  2. Step 2: Convert to fraction form
    38,117.76/52,602.68 = 22,213.12/x
  3. Step 3: Cross multiply
    38,117.76x = 52,602.68 × 22,213.12
  4. Step 4: Simplify right side
    38,117.76x = 1,168,469,643.16
  5. Step 5: Solve for x
    x = 1,168,469,643.16/38,117.76
  6. Step 6: Final answer
    x = 30,654.21

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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.