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Finding the Fourth Proportional to 31,752.84, 43,810 and 25,017.56

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Solution

The fourth proportional to 31,752.84, 43,810 and 25,017.56 is: 34,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.84 : 43,810 = 25,017.56 : x
  2. Step 2: Convert to fraction form
    31,752.84/43,810 = 25,017.56/x
  3. Step 3: Cross multiply
    31,752.84x = 43,810 × 25,017.56
  4. Step 4: Simplify right side
    31,752.84x = 1,096,019,303.60
  5. Step 5: Solve for x
    x = 1,096,019,303.60/31,752.84
  6. Step 6: Final answer
    x = 34,517.21

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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.