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Finding the Fourth Proportional to 56,812.38, 78,395.79 and 31,314.30

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Solution

The fourth proportional to 56,812.38, 78,395.79 and 31,314.30 is: 43,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,812.38 : 78,395.79 = 31,314.30 : x
  2. Step 2: Convert to fraction form
    56,812.38/78,395.79 = 31,314.30/x
  3. Step 3: Cross multiply
    56,812.38x = 78,395.79 × 31,314.30
  4. Step 4: Simplify right side
    56,812.38x = 2,454,909,286.80
  5. Step 5: Solve for x
    x = 2,454,909,286.80/56,812.38
  6. Step 6: Final answer
    x = 43,210.82

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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.