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Finding the Fourth Proportional to 31,461.57, 43,417.70 and 17,850.53

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Solution

The fourth proportional to 31,461.57, 43,417.70 and 17,850.53 is: 24,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.57 : 43,417.70 = 17,850.53 : x
  2. Step 2: Convert to fraction form
    31,461.57/43,417.70 = 17,850.53/x
  3. Step 3: Cross multiply
    31,461.57x = 43,417.70 × 17,850.53
  4. Step 4: Simplify right side
    31,461.57x = 775,028,956.38
  5. Step 5: Solve for x
    x = 775,028,956.38/31,461.57
  6. Step 6: Final answer
    x = 24,634.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.