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Finding the Fourth Proportional to 30,711, 42,381.35 and 17,282.48

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Solution

The fourth proportional to 30,711, 42,381.35 and 17,282.48 is: 23,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711 : 42,381.35 = 17,282.48 : x
  2. Step 2: Convert to fraction form
    30,711/42,381.35 = 17,282.48/x
  3. Step 3: Cross multiply
    30,711x = 42,381.35 × 17,282.48
  4. Step 4: Simplify right side
    30,711x = 732,454,833.75
  5. Step 5: Solve for x
    x = 732,454,833.75/30,711
  6. Step 6: Final answer
    x = 23,849.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.