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Finding the Fourth Proportional to 34,281.32, 51,410.97 and 10,902.29

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Solution

The fourth proportional to 34,281.32, 51,410.97 and 10,902.29 is: 16,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,281.32 : 51,410.97 = 10,902.29 : x
  2. Step 2: Convert to fraction form
    34,281.32/51,410.97 = 10,902.29/x
  3. Step 3: Cross multiply
    34,281.32x = 51,410.97 × 10,902.29
  4. Step 4: Simplify right side
    34,281.32x = 560,497,047.07
  5. Step 5: Solve for x
    x = 560,497,047.07/34,281.32
  6. Step 6: Final answer
    x = 16,349.93

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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.