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Finding the Fourth Proportional to 31,996.68, 44,155.08 and 17,853

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Solution

The fourth proportional to 31,996.68, 44,155.08 and 17,853 is: 24,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.68 : 44,155.08 = 17,853 : x
  2. Step 2: Convert to fraction form
    31,996.68/44,155.08 = 17,853/x
  3. Step 3: Cross multiply
    31,996.68x = 44,155.08 × 17,853
  4. Step 4: Simplify right side
    31,996.68x = 788,300,643.24
  5. Step 5: Solve for x
    x = 788,300,643.24/31,996.68
  6. Step 6: Final answer
    x = 24,636.95

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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.