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Finding the Fourth Proportional to 34,716.17, 47,909.18 and 21,294.82

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Solution

The fourth proportional to 34,716.17, 47,909.18 and 21,294.82 is: 29,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716.17 : 47,909.18 = 21,294.82 : x
  2. Step 2: Convert to fraction form
    34,716.17/47,909.18 = 21,294.82/x
  3. Step 3: Cross multiply
    34,716.17x = 47,909.18 × 21,294.82
  4. Step 4: Simplify right side
    34,716.17x = 1,020,217,477.57
  5. Step 5: Solve for x
    x = 1,020,217,477.57/34,716.17
  6. Step 6: Final answer
    x = 29,387.39

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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.