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Finding the Fourth Proportional to 31,635.16, 43,709.02 and 24,971.69

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Solution

The fourth proportional to 31,635.16, 43,709.02 and 24,971.69 is: 34,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.16 : 43,709.02 = 24,971.69 : x
  2. Step 2: Convert to fraction form
    31,635.16/43,709.02 = 24,971.69/x
  3. Step 3: Cross multiply
    31,635.16x = 43,709.02 × 24,971.69
  4. Step 4: Simplify right side
    31,635.16x = 1,091,488,144.49
  5. Step 5: Solve for x
    x = 1,091,488,144.49/31,635.16
  6. Step 6: Final answer
    x = 34,502.38

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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.