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Finding the Fourth Proportional to 51,603.92, 71,176.10 and 31,461.65

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Solution

The fourth proportional to 51,603.92, 71,176.10 and 31,461.65 is: 43,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.92 : 71,176.10 = 31,461.65 : x
  2. Step 2: Convert to fraction form
    51,603.92/71,176.10 = 31,461.65/x
  3. Step 3: Cross multiply
    51,603.92x = 71,176.10 × 31,461.65
  4. Step 4: Simplify right side
    51,603.92x = 2,239,317,033.38
  5. Step 5: Solve for x
    x = 2,239,317,033.38/51,603.92
  6. Step 6: Final answer
    x = 43,394.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.