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Finding the Fourth Proportional to 34,134.96, 51,234.12 and 17,507.28

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Solution

The fourth proportional to 34,134.96, 51,234.12 and 17,507.28 is: 26,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134.96 : 51,234.12 = 17,507.28 : x
  2. Step 2: Convert to fraction form
    34,134.96/51,234.12 = 17,507.28/x
  3. Step 3: Cross multiply
    34,134.96x = 51,234.12 × 17,507.28
  4. Step 4: Simplify right side
    34,134.96x = 896,970,084.39
  5. Step 5: Solve for x
    x = 896,970,084.39/34,134.96
  6. Step 6: Final answer
    x = 26,277.17

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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.