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Finding the Fourth Proportional to 31,074.16, 42,881.52 and 16,926.16

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Solution

The fourth proportional to 31,074.16, 42,881.52 and 16,926.16 is: 23,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.16 : 42,881.52 = 16,926.16 : x
  2. Step 2: Convert to fraction form
    31,074.16/42,881.52 = 16,926.16/x
  3. Step 3: Cross multiply
    31,074.16x = 42,881.52 × 16,926.16
  4. Step 4: Simplify right side
    31,074.16x = 725,819,468.56
  5. Step 5: Solve for x
    x = 725,819,468.56/31,074.16
  6. Step 6: Final answer
    x = 23,357.65

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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.