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Finding the Fourth Proportional to 34,005.68, 51,008.53 and 10,313.18

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Solution

The fourth proportional to 34,005.68, 51,008.53 and 10,313.18 is: 15,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.68 : 51,008.53 = 10,313.18 : x
  2. Step 2: Convert to fraction form
    34,005.68/51,008.53 = 10,313.18/x
  3. Step 3: Cross multiply
    34,005.68x = 51,008.53 × 10,313.18
  4. Step 4: Simplify right side
    34,005.68x = 526,060,151.43
  5. Step 5: Solve for x
    x = 526,060,151.43/34,005.68
  6. Step 6: Final answer
    x = 15,469.77

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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.