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Finding the Fourth Proportional to 31,490.70, 43,443.13 and 21,278.47

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Solution

The fourth proportional to 31,490.70, 43,443.13 and 21,278.47 is: 29,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490.70 : 43,443.13 = 21,278.47 : x
  2. Step 2: Convert to fraction form
    31,490.70/43,443.13 = 21,278.47/x
  3. Step 3: Cross multiply
    31,490.70x = 43,443.13 × 21,278.47
  4. Step 4: Simplify right side
    31,490.70x = 924,403,338.41
  5. Step 5: Solve for x
    x = 924,403,338.41/31,490.70
  6. Step 6: Final answer
    x = 29,354.80

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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.