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Finding the Fourth Proportional to 31,255.69, 46,881.88 and 8,767.93

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Solution

The fourth proportional to 31,255.69, 46,881.88 and 8,767.93 is: 13,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255.69 : 46,881.88 = 8,767.93 : x
  2. Step 2: Convert to fraction form
    31,255.69/46,881.88 = 8,767.93/x
  3. Step 3: Cross multiply
    31,255.69x = 46,881.88 × 8,767.93
  4. Step 4: Simplify right side
    31,255.69x = 411,056,905.00
  5. Step 5: Solve for x
    x = 411,056,905.00/31,255.69
  6. Step 6: Final answer
    x = 13,151.43

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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.