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Finding the Fourth Proportional to 31,206.40, 43,061 and 17,777.68

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Solution

The fourth proportional to 31,206.40, 43,061 and 17,777.68 is: 24,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.40 : 43,061 = 17,777.68 : x
  2. Step 2: Convert to fraction form
    31,206.40/43,061 = 17,777.68/x
  3. Step 3: Cross multiply
    31,206.40x = 43,061 × 17,777.68
  4. Step 4: Simplify right side
    31,206.40x = 765,524,678.48
  5. Step 5: Solve for x
    x = 765,524,678.48/31,206.40
  6. Step 6: Final answer
    x = 24,531.02

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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.