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Finding the Fourth Proportional to 34,146, 51,226.62 and 10,456.88

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Solution

The fourth proportional to 34,146, 51,226.62 and 10,456.88 is: 15,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,146 : 51,226.62 = 10,456.88 : x
  2. Step 2: Convert to fraction form
    34,146/51,226.62 = 10,456.88/x
  3. Step 3: Cross multiply
    34,146x = 51,226.62 × 10,456.88
  4. Step 4: Simplify right side
    34,146x = 535,670,362.01
  5. Step 5: Solve for x
    x = 535,670,362.01/34,146
  6. Step 6: Final answer
    x = 15,687.65

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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.