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Finding the Fourth Proportional to 31,771.35, 43,838.15 and 19,196.13

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Solution

The fourth proportional to 31,771.35, 43,838.15 and 19,196.13 is: 26,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.35 : 43,838.15 = 19,196.13 : x
  2. Step 2: Convert to fraction form
    31,771.35/43,838.15 = 19,196.13/x
  3. Step 3: Cross multiply
    31,771.35x = 43,838.15 × 19,196.13
  4. Step 4: Simplify right side
    31,771.35x = 841,522,730.38
  5. Step 5: Solve for x
    x = 841,522,730.38/31,771.35
  6. Step 6: Final answer
    x = 26,486.84

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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.