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Finding the Fourth Proportional to 31,851.60, 43,955.16 and 17,705.76

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Solution

The fourth proportional to 31,851.60, 43,955.16 and 17,705.76 is: 24,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.60 : 43,955.16 = 17,705.76 : x
  2. Step 2: Convert to fraction form
    31,851.60/43,955.16 = 17,705.76/x
  3. Step 3: Cross multiply
    31,851.60x = 43,955.16 × 17,705.76
  4. Step 4: Simplify right side
    31,851.60x = 778,259,513.72
  5. Step 5: Solve for x
    x = 778,259,513.72/31,851.60
  6. Step 6: Final answer
    x = 24,433.92

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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.