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Finding the Fourth Proportional to 34,688.38, 47,870.10 and 18,772.82

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Solution

The fourth proportional to 34,688.38, 47,870.10 and 18,772.82 is: 25,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,688.38 : 47,870.10 = 18,772.82 : x
  2. Step 2: Convert to fraction form
    34,688.38/47,870.10 = 18,772.82/x
  3. Step 3: Cross multiply
    34,688.38x = 47,870.10 × 18,772.82
  4. Step 4: Simplify right side
    34,688.38x = 898,656,770.68
  5. Step 5: Solve for x
    x = 898,656,770.68/34,688.38
  6. Step 6: Final answer
    x = 25,906.57

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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.