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Finding the Fourth Proportional to 34,011.65, 51,017.31 and 8,711.11

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Solution

The fourth proportional to 34,011.65, 51,017.31 and 8,711.11 is: 13,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011.65 : 51,017.31 = 8,711.11 : x
  2. Step 2: Convert to fraction form
    34,011.65/51,017.31 = 8,711.11/x
  3. Step 3: Cross multiply
    34,011.65x = 51,017.31 × 8,711.11
  4. Step 4: Simplify right side
    34,011.65x = 444,417,463.09
  5. Step 5: Solve for x
    x = 444,417,463.09/34,011.65
  6. Step 6: Final answer
    x = 13,066.63

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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.