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Finding the Fourth Proportional to 31,088.88, 42,901.80 and 16,942

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Solution

The fourth proportional to 31,088.88, 42,901.80 and 16,942 is: 23,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088.88 : 42,901.80 = 16,942 : x
  2. Step 2: Convert to fraction form
    31,088.88/42,901.80 = 16,942/x
  3. Step 3: Cross multiply
    31,088.88x = 42,901.80 × 16,942
  4. Step 4: Simplify right side
    31,088.88x = 726,842,295.60
  5. Step 5: Solve for x
    x = 726,842,295.60/31,088.88
  6. Step 6: Final answer
    x = 23,379.49

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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.