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Finding the Fourth Proportional to 31,615.61, 43,578.87 and 21,403.42

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Solution

The fourth proportional to 31,615.61, 43,578.87 and 21,403.42 is: 29,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.61 : 43,578.87 = 21,403.42 : x
  2. Step 2: Convert to fraction form
    31,615.61/43,578.87 = 21,403.42/x
  3. Step 3: Cross multiply
    31,615.61x = 43,578.87 × 21,403.42
  4. Step 4: Simplify right side
    31,615.61x = 932,736,831.95
  5. Step 5: Solve for x
    x = 932,736,831.95/31,615.61
  6. Step 6: Final answer
    x = 29,502.42

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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.