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Finding the Fourth Proportional to 50,865.42, 70,251.76 and 34,705

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Solution

The fourth proportional to 50,865.42, 70,251.76 and 34,705 is: 47,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,865.42 : 70,251.76 = 34,705 : x
  2. Step 2: Convert to fraction form
    50,865.42/70,251.76 = 34,705/x
  3. Step 3: Cross multiply
    50,865.42x = 70,251.76 × 34,705
  4. Step 4: Simplify right side
    50,865.42x = 2,438,087,330.80
  5. Step 5: Solve for x
    x = 2,438,087,330.80/50,865.42
  6. Step 6: Final answer
    x = 47,932.12

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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.