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Finding the Fourth Proportional to 31,784.52, 43,862.94 and 17,638.68

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Solution

The fourth proportional to 31,784.52, 43,862.94 and 17,638.68 is: 24,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.52 : 43,862.94 = 17,638.68 : x
  2. Step 2: Convert to fraction form
    31,784.52/43,862.94 = 17,638.68/x
  3. Step 3: Cross multiply
    31,784.52x = 43,862.94 × 17,638.68
  4. Step 4: Simplify right side
    31,784.52x = 773,684,362.52
  5. Step 5: Solve for x
    x = 773,684,362.52/31,784.52
  6. Step 6: Final answer
    x = 24,341.55

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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.