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Finding the Fourth Proportional to 31,418, 43,356.93 and 17,989.46

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Solution

The fourth proportional to 31,418, 43,356.93 and 17,989.46 is: 24,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418 : 43,356.93 = 17,989.46 : x
  2. Step 2: Convert to fraction form
    31,418/43,356.93 = 17,989.46/x
  3. Step 3: Cross multiply
    31,418x = 43,356.93 × 17,989.46
  4. Step 4: Simplify right side
    31,418x = 779,967,757.96
  5. Step 5: Solve for x
    x = 779,967,757.96/31,418
  6. Step 6: Final answer
    x = 24,825.51

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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.