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Finding the Fourth Proportional to 34,711.64, 47,902.08 and 18,796.15

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Solution

The fourth proportional to 34,711.64, 47,902.08 and 18,796.15 is: 25,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.64 : 47,902.08 = 18,796.15 : x
  2. Step 2: Convert to fraction form
    34,711.64/47,902.08 = 18,796.15/x
  3. Step 3: Cross multiply
    34,711.64x = 47,902.08 × 18,796.15
  4. Step 4: Simplify right side
    34,711.64x = 900,374,811.36
  5. Step 5: Solve for x
    x = 900,374,811.36/34,711.64
  6. Step 6: Final answer
    x = 25,938.70

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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.