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Finding the Fourth Proportional to 31,088.68, 42,901 and 16,941.48

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Solution

The fourth proportional to 31,088.68, 42,901 and 16,941.48 is: 23,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088.68 : 42,901 = 16,941.48 : x
  2. Step 2: Convert to fraction form
    31,088.68/42,901 = 16,941.48/x
  3. Step 3: Cross multiply
    31,088.68x = 42,901 × 16,941.48
  4. Step 4: Simplify right side
    31,088.68x = 726,806,433.48
  5. Step 5: Solve for x
    x = 726,806,433.48/31,088.68
  6. Step 6: Final answer
    x = 23,378.49

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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.