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Finding the Fourth Proportional to 31,005.41, 46,508 and 8,516.10

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Solution

The fourth proportional to 31,005.41, 46,508 and 8,516.10 is: 12,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.41 : 46,508 = 8,516.10 : x
  2. Step 2: Convert to fraction form
    31,005.41/46,508 = 8,516.10/x
  3. Step 3: Cross multiply
    31,005.41x = 46,508 × 8,516.10
  4. Step 4: Simplify right side
    31,005.41x = 396,066,778.80
  5. Step 5: Solve for x
    x = 396,066,778.80/31,005.41
  6. Step 6: Final answer
    x = 12,774.12

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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.