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Finding the Fourth Proportional to 31,782, 43,859.16 and 17,637.12

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Solution

The fourth proportional to 31,782, 43,859.16 and 17,637.12 is: 24,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782 : 43,859.16 = 17,637.12 : x
  2. Step 2: Convert to fraction form
    31,782/43,859.16 = 17,637.12/x
  3. Step 3: Cross multiply
    31,782x = 43,859.16 × 17,637.12
  4. Step 4: Simplify right side
    31,782x = 773,549,268.02
  5. Step 5: Solve for x
    x = 773,549,268.02/31,782
  6. Step 6: Final answer
    x = 24,339.23

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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.