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Finding the Fourth Proportional to 31,643.60, 43,697.16 and 25,401.68

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Solution

The fourth proportional to 31,643.60, 43,697.16 and 25,401.68 is: 35,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.60 : 43,697.16 = 25,401.68 : x
  2. Step 2: Convert to fraction form
    31,643.60/43,697.16 = 25,401.68/x
  3. Step 3: Cross multiply
    31,643.60x = 43,697.16 × 25,401.68
  4. Step 4: Simplify right side
    31,643.60x = 1,109,981,275.23
  5. Step 5: Solve for x
    x = 1,109,981,275.23/31,643.60
  6. Step 6: Final answer
    x = 35,077.59

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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.