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Finding the Fourth Proportional to 31,176.94, 43,024.17 and 17,029.82

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Solution

The fourth proportional to 31,176.94, 43,024.17 and 17,029.82 is: 23,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.94 : 43,024.17 = 17,029.82 : x
  2. Step 2: Convert to fraction form
    31,176.94/43,024.17 = 17,029.82/x
  3. Step 3: Cross multiply
    31,176.94x = 43,024.17 × 17,029.82
  4. Step 4: Simplify right side
    31,176.94x = 732,693,870.75
  5. Step 5: Solve for x
    x = 732,693,870.75/31,176.94
  6. Step 6: Final answer
    x = 23,501.15

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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.