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Finding the Fourth Proportional to 31,782.80, 43,859.88 and 17,635.76

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Solution

The fourth proportional to 31,782.80, 43,859.88 and 17,635.76 is: 24,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.80 : 43,859.88 = 17,635.76 : x
  2. Step 2: Convert to fraction form
    31,782.80/43,859.88 = 17,635.76/x
  3. Step 3: Cross multiply
    31,782.80x = 43,859.88 × 17,635.76
  4. Step 4: Simplify right side
    31,782.80x = 773,502,317.31
  5. Step 5: Solve for x
    x = 773,502,317.31/31,782.80
  6. Step 6: Final answer
    x = 24,337.14

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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.