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Finding the Fourth Proportional to 31,055.61, 42,856.92 and 16,908.42

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Solution

The fourth proportional to 31,055.61, 42,856.92 and 16,908.42 is: 23,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.61 : 42,856.92 = 16,908.42 : x
  2. Step 2: Convert to fraction form
    31,055.61/42,856.92 = 16,908.42/x
  3. Step 3: Cross multiply
    31,055.61x = 42,856.92 × 16,908.42
  4. Step 4: Simplify right side
    31,055.61x = 724,642,803.27
  5. Step 5: Solve for x
    x = 724,642,803.27/31,055.61
  6. Step 6: Final answer
    x = 23,333.72

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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.