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Finding the Fourth Proportional to 56,853.40, 78,458.34 and 31,359.80

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Solution

The fourth proportional to 56,853.40, 78,458.34 and 31,359.80 is: 43,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,853.40 : 78,458.34 = 31,359.80 : x
  2. Step 2: Convert to fraction form
    56,853.40/78,458.34 = 31,359.80/x
  3. Step 3: Cross multiply
    56,853.40x = 78,458.34 × 31,359.80
  4. Step 4: Simplify right side
    56,853.40x = 2,460,437,850.73
  5. Step 5: Solve for x
    x = 2,460,437,850.73/56,853.40
  6. Step 6: Final answer
    x = 43,276.88

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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.