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Finding the Fourth Proportional to 35,781.12, 49,378.14 and 19,865.70

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Solution

The fourth proportional to 35,781.12, 49,378.14 and 19,865.70 is: 27,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,781.12 : 49,378.14 = 19,865.70 : x
  2. Step 2: Convert to fraction form
    35,781.12/49,378.14 = 19,865.70/x
  3. Step 3: Cross multiply
    35,781.12x = 49,378.14 × 19,865.70
  4. Step 4: Simplify right side
    35,781.12x = 980,931,315.80
  5. Step 5: Solve for x
    x = 980,931,315.80/35,781.12
  6. Step 6: Final answer
    x = 27,414.77

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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.