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Finding the Fourth Proportional to 31,352.71, 43,302.67 and 20,645.45

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Solution

The fourth proportional to 31,352.71, 43,302.67 and 20,645.45 is: 28,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.71 : 43,302.67 = 20,645.45 : x
  2. Step 2: Convert to fraction form
    31,352.71/43,302.67 = 20,645.45/x
  3. Step 3: Cross multiply
    31,352.71x = 43,302.67 × 20,645.45
  4. Step 4: Simplify right side
    31,352.71x = 894,003,089.71
  5. Step 5: Solve for x
    x = 894,003,089.71/31,352.71
  6. Step 6: Final answer
    x = 28,514.38

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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.