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Finding the Fourth Proportional to 50,816, 70,126.08 and 30,944

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Solution

The fourth proportional to 50,816, 70,126.08 and 30,944 is: 42,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,816 : 70,126.08 = 30,944 : x
  2. Step 2: Convert to fraction form
    50,816/70,126.08 = 30,944/x
  3. Step 3: Cross multiply
    50,816x = 70,126.08 × 30,944
  4. Step 4: Simplify right side
    50,816x = 2,169,981,419.52
  5. Step 5: Solve for x
    x = 2,169,981,419.52/50,816
  6. Step 6: Final answer
    x = 42,702.72

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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.