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Finding the Fourth Proportional to 31,874.29, 43,985.16 and 17,533.21

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Solution

The fourth proportional to 31,874.29, 43,985.16 and 17,533.21 is: 24,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.29 : 43,985.16 = 17,533.21 : x
  2. Step 2: Convert to fraction form
    31,874.29/43,985.16 = 17,533.21/x
  3. Step 3: Cross multiply
    31,874.29x = 43,985.16 × 17,533.21
  4. Step 4: Simplify right side
    31,874.29x = 771,200,827.24
  5. Step 5: Solve for x
    x = 771,200,827.24/31,874.29
  6. Step 6: Final answer
    x = 24,195.08

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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.