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Finding the Fourth Proportional to 34,223.31, 51,342.86 and 14,502.65

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Solution

The fourth proportional to 34,223.31, 51,342.86 and 14,502.65 is: 21,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,223.31 : 51,342.86 = 14,502.65 : x
  2. Step 2: Convert to fraction form
    34,223.31/51,342.86 = 14,502.65/x
  3. Step 3: Cross multiply
    34,223.31x = 51,342.86 × 14,502.65
  4. Step 4: Simplify right side
    34,223.31x = 744,607,308.12
  5. Step 5: Solve for x
    x = 744,607,308.12/34,223.31
  6. Step 6: Final answer
    x = 21,757.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.