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Finding the Fourth Proportional to 57,246.94, 78,995.14 and 31,752.87

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Solution

The fourth proportional to 57,246.94, 78,995.14 and 31,752.87 is: 43,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,246.94 : 78,995.14 = 31,752.87 : x
  2. Step 2: Convert to fraction form
    57,246.94/78,995.14 = 31,752.87/x
  3. Step 3: Cross multiply
    57,246.94x = 78,995.14 × 31,752.87
  4. Step 4: Simplify right side
    57,246.94x = 2,508,322,411.05
  5. Step 5: Solve for x
    x = 2,508,322,411.05/57,246.94
  6. Step 6: Final answer
    x = 43,815.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.