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Finding the Fourth Proportional to 56,986.56, 78,641.40 and 31,494.84

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Solution

The fourth proportional to 56,986.56, 78,641.40 and 31,494.84 is: 43,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,986.56 : 78,641.40 = 31,494.84 : x
  2. Step 2: Convert to fraction form
    56,986.56/78,641.40 = 31,494.84/x
  3. Step 3: Cross multiply
    56,986.56x = 78,641.40 × 31,494.84
  4. Step 4: Simplify right side
    56,986.56x = 2,476,798,310.38
  5. Step 5: Solve for x
    x = 2,476,798,310.38/56,986.56
  6. Step 6: Final answer
    x = 43,462.85

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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.