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Finding the Fourth Proportional to 31,023.62, 46,535.92 and 7,650.06

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Solution

The fourth proportional to 31,023.62, 46,535.92 and 7,650.06 is: 11,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.62 : 46,535.92 = 7,650.06 : x
  2. Step 2: Convert to fraction form
    31,023.62/46,535.92 = 7,650.06/x
  3. Step 3: Cross multiply
    31,023.62x = 46,535.92 × 7,650.06
  4. Step 4: Simplify right side
    31,023.62x = 356,002,580.16
  5. Step 5: Solve for x
    x = 356,002,580.16/31,023.62
  6. Step 6: Final answer
    x = 11,475.21

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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.