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Finding the Fourth Proportional to 34,340.64, 47,387.67 and 19,233.14

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Solution

The fourth proportional to 34,340.64, 47,387.67 and 19,233.14 is: 26,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,340.64 : 47,387.67 = 19,233.14 : x
  2. Step 2: Convert to fraction form
    34,340.64/47,387.67 = 19,233.14/x
  3. Step 3: Cross multiply
    34,340.64x = 47,387.67 × 19,233.14
  4. Step 4: Simplify right side
    34,340.64x = 911,413,454.45
  5. Step 5: Solve for x
    x = 911,413,454.45/34,340.64
  6. Step 6: Final answer
    x = 26,540.37

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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.