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Finding the Fourth Proportional to 34,046.16, 51,089.20 and 14,323.20

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Solution

The fourth proportional to 34,046.16, 51,089.20 and 14,323.20 is: 21,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,046.16 : 51,089.20 = 14,323.20 : x
  2. Step 2: Convert to fraction form
    34,046.16/51,089.20 = 14,323.20/x
  3. Step 3: Cross multiply
    34,046.16x = 51,089.20 × 14,323.20
  4. Step 4: Simplify right side
    34,046.16x = 731,760,829.44
  5. Step 5: Solve for x
    x = 731,760,829.44/34,046.16
  6. Step 6: Final answer
    x = 21,493.20

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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.