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Finding the Fourth Proportional to 31,782.99, 43,861.52 and 17,637.15

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Solution

The fourth proportional to 31,782.99, 43,861.52 and 17,637.15 is: 24,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.99 : 43,861.52 = 17,637.15 : x
  2. Step 2: Convert to fraction form
    31,782.99/43,861.52 = 17,637.15/x
  3. Step 3: Cross multiply
    31,782.99x = 43,861.52 × 17,637.15
  4. Step 4: Simplify right side
    31,782.99x = 773,592,207.47
  5. Step 5: Solve for x
    x = 773,592,207.47/31,782.99
  6. Step 6: Final answer
    x = 24,339.82

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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.