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Finding the Fourth Proportional to 34,412.31, 51,488.01 and 20,379.87

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Solution

The fourth proportional to 34,412.31, 51,488.01 and 20,379.87 is: 30,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.31 : 51,488.01 = 20,379.87 : x
  2. Step 2: Convert to fraction form
    34,412.31/51,488.01 = 20,379.87/x
  3. Step 3: Cross multiply
    34,412.31x = 51,488.01 × 20,379.87
  4. Step 4: Simplify right side
    34,412.31x = 1,049,318,950.36
  5. Step 5: Solve for x
    x = 1,049,318,950.36/34,412.31
  6. Step 6: Final answer
    x = 30,492.55

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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.