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Finding the Fourth Proportional to 31,807.12, 43,894.62 and 17,468.38

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Solution

The fourth proportional to 31,807.12, 43,894.62 and 17,468.38 is: 24,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.12 : 43,894.62 = 17,468.38 : x
  2. Step 2: Convert to fraction form
    31,807.12/43,894.62 = 17,468.38/x
  3. Step 3: Cross multiply
    31,807.12x = 43,894.62 × 17,468.38
  4. Step 4: Simplify right side
    31,807.12x = 766,767,902.12
  5. Step 5: Solve for x
    x = 766,767,902.12/31,807.12
  6. Step 6: Final answer
    x = 24,106.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.