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Finding the Fourth Proportional to 52,909.20, 79,402.14 and 19,634

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Solution

The fourth proportional to 52,909.20, 79,402.14 and 19,634 is: 29,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,909.20 : 79,402.14 = 19,634 : x
  2. Step 2: Convert to fraction form
    52,909.20/79,402.14 = 19,634/x
  3. Step 3: Cross multiply
    52,909.20x = 79,402.14 × 19,634
  4. Step 4: Simplify right side
    52,909.20x = 1,558,981,616.76
  5. Step 5: Solve for x
    x = 1,558,981,616.76/52,909.20
  6. Step 6: Final answer
    x = 29,465.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.