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Finding the Fourth Proportional to 50,776.24, 70,062.88 and 31,900

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Solution

The fourth proportional to 50,776.24, 70,062.88 and 31,900 is: 44,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,776.24 : 70,062.88 = 31,900 : x
  2. Step 2: Convert to fraction form
    50,776.24/70,062.88 = 31,900/x
  3. Step 3: Cross multiply
    50,776.24x = 70,062.88 × 31,900
  4. Step 4: Simplify right side
    50,776.24x = 2,235,005,872
  5. Step 5: Solve for x
    x = 2,235,005,872/50,776.24
  6. Step 6: Final answer
    x = 44,016.77

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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.