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Finding the Fourth Proportional to 55,314.32, 76,335.72 and 31,442

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Solution

The fourth proportional to 55,314.32, 76,335.72 and 31,442 is: 43,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,314.32 : 76,335.72 = 31,442 : x
  2. Step 2: Convert to fraction form
    55,314.32/76,335.72 = 31,442/x
  3. Step 3: Cross multiply
    55,314.32x = 76,335.72 × 31,442
  4. Step 4: Simplify right side
    55,314.32x = 2,400,147,708.24
  5. Step 5: Solve for x
    x = 2,400,147,708.24/55,314.32
  6. Step 6: Final answer
    x = 43,391.07

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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.