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Finding the Fourth Proportional to 46,523.57, 69,758.87 and 31,750.38

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Solution

The fourth proportional to 46,523.57, 69,758.87 and 31,750.38 is: 47,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,523.57 : 69,758.87 = 31,750.38 : x
  2. Step 2: Convert to fraction form
    46,523.57/69,758.87 = 31,750.38/x
  3. Step 3: Cross multiply
    46,523.57x = 69,758.87 × 31,750.38
  4. Step 4: Simplify right side
    46,523.57x = 2,214,870,472.12
  5. Step 5: Solve for x
    x = 2,214,870,472.12/46,523.57
  6. Step 6: Final answer
    x = 47,607.50

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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.