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Finding the Fourth Proportional to 49,157.65, 73,689.76 and 31,338.29

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Solution

The fourth proportional to 49,157.65, 73,689.76 and 31,338.29 is: 46,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,157.65 : 73,689.76 = 31,338.29 : x
  2. Step 2: Convert to fraction form
    49,157.65/73,689.76 = 31,338.29/x
  3. Step 3: Cross multiply
    49,157.65x = 73,689.76 × 31,338.29
  4. Step 4: Simplify right side
    49,157.65x = 2,309,311,068.91
  5. Step 5: Solve for x
    x = 2,309,311,068.91/49,157.65
  6. Step 6: Final answer
    x = 46,977.65

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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.