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Finding the Fourth Proportional to 31,140.72, 46,711.26 and 7,767.16

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Solution

The fourth proportional to 31,140.72, 46,711.26 and 7,767.16 is: 11,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140.72 : 46,711.26 = 7,767.16 : x
  2. Step 2: Convert to fraction form
    31,140.72/46,711.26 = 7,767.16/x
  3. Step 3: Cross multiply
    31,140.72x = 46,711.26 × 7,767.16
  4. Step 4: Simplify right side
    31,140.72x = 362,813,713.44
  5. Step 5: Solve for x
    x = 362,813,713.44/31,140.72
  6. Step 6: Final answer
    x = 11,650.78

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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.