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Finding the Fourth Proportional to 34,323, 47,341.32 and 31,499.49

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Solution

The fourth proportional to 34,323, 47,341.32 and 31,499.49 is: 43,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,323 : 47,341.32 = 31,499.49 : x
  2. Step 2: Convert to fraction form
    34,323/47,341.32 = 31,499.49/x
  3. Step 3: Cross multiply
    34,323x = 47,341.32 × 31,499.49
  4. Step 4: Simplify right side
    34,323x = 1,491,227,435.93
  5. Step 5: Solve for x
    x = 1,491,227,435.93/34,323
  6. Step 6: Final answer
    x = 43,446.89

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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.