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Finding the Fourth Proportional to 31,097.16, 46,645.50 and 8,910.55

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Solution

The fourth proportional to 31,097.16, 46,645.50 and 8,910.55 is: 13,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.16 : 46,645.50 = 8,910.55 : x
  2. Step 2: Convert to fraction form
    31,097.16/46,645.50 = 8,910.55/x
  3. Step 3: Cross multiply
    31,097.16x = 46,645.50 × 8,910.55
  4. Step 4: Simplify right side
    31,097.16x = 415,637,060.03
  5. Step 5: Solve for x
    x = 415,637,060.03/31,097.16
  6. Step 6: Final answer
    x = 13,365.76

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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.