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Finding the Fourth Proportional to 31,544.84, 43,530 and 18,118.28

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Solution

The fourth proportional to 31,544.84, 43,530 and 18,118.28 is: 25,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544.84 : 43,530 = 18,118.28 : x
  2. Step 2: Convert to fraction form
    31,544.84/43,530 = 18,118.28/x
  3. Step 3: Cross multiply
    31,544.84x = 43,530 × 18,118.28
  4. Step 4: Simplify right side
    31,544.84x = 788,688,728.40
  5. Step 5: Solve for x
    x = 788,688,728.40/31,544.84
  6. Step 6: Final answer
    x = 25,002.15

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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.