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Finding the Fourth Proportional to 34,402.98, 47,471.52 and 19,089.30

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Solution

The fourth proportional to 34,402.98, 47,471.52 and 19,089.30 is: 26,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.98 : 47,471.52 = 19,089.30 : x
  2. Step 2: Convert to fraction form
    34,402.98/47,471.52 = 19,089.30/x
  3. Step 3: Cross multiply
    34,402.98x = 47,471.52 × 19,089.30
  4. Step 4: Simplify right side
    34,402.98x = 906,198,086.74
  5. Step 5: Solve for x
    x = 906,198,086.74/34,402.98
  6. Step 6: Final answer
    x = 26,340.69

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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.