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Finding the Fourth Proportional to 57,020.52, 78,690.72 and 31,870

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Solution

The fourth proportional to 57,020.52, 78,690.72 and 31,870 is: 43,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,020.52 : 78,690.72 = 31,870 : x
  2. Step 2: Convert to fraction form
    57,020.52/78,690.72 = 31,870/x
  3. Step 3: Cross multiply
    57,020.52x = 78,690.72 × 31,870
  4. Step 4: Simplify right side
    57,020.52x = 2,507,873,246.40
  5. Step 5: Solve for x
    x = 2,507,873,246.40/57,020.52
  6. Step 6: Final answer
    x = 43,981.94

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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.