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Finding the Fourth Proportional to 34,473.06, 51,718.17 and 9,849.06

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Solution

The fourth proportional to 34,473.06, 51,718.17 and 9,849.06 is: 14,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,473.06 : 51,718.17 = 9,849.06 : x
  2. Step 2: Convert to fraction form
    34,473.06/51,718.17 = 9,849.06/x
  3. Step 3: Cross multiply
    34,473.06x = 51,718.17 × 9,849.06
  4. Step 4: Simplify right side
    34,473.06x = 509,375,359.42
  5. Step 5: Solve for x
    x = 509,375,359.42/34,473.06
  6. Step 6: Final answer
    x = 14,776.04

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Why These Related Problems?

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