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Finding the Fourth Proportional to 38,114.76, 52,598.34 and 22,209.96

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Solution

The fourth proportional to 38,114.76, 52,598.34 and 22,209.96 is: 30,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.76 : 52,598.34 = 22,209.96 : x
  2. Step 2: Convert to fraction form
    38,114.76/52,598.34 = 22,209.96/x
  3. Step 3: Cross multiply
    38,114.76x = 52,598.34 × 22,209.96
  4. Step 4: Simplify right side
    38,114.76x = 1,168,207,027.47
  5. Step 5: Solve for x
    x = 1,168,207,027.47/38,114.76
  6. Step 6: Final answer
    x = 30,649.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.