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Finding the Fourth Proportional to 31,078.88, 42,889 and 16,931.84

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Solution

The fourth proportional to 31,078.88, 42,889 and 16,931.84 is: 23,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.88 : 42,889 = 16,931.84 : x
  2. Step 2: Convert to fraction form
    31,078.88/42,889 = 16,931.84/x
  3. Step 3: Cross multiply
    31,078.88x = 42,889 × 16,931.84
  4. Step 4: Simplify right side
    31,078.88x = 726,189,685.76
  5. Step 5: Solve for x
    x = 726,189,685.76/31,078.88
  6. Step 6: Final answer
    x = 23,366.02

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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.