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Finding the Fourth Proportional to 31,706.84, 43,751.86 and 17,556.12

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Solution

The fourth proportional to 31,706.84, 43,751.86 and 17,556.12 is: 24,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.84 : 43,751.86 = 17,556.12 : x
  2. Step 2: Convert to fraction form
    31,706.84/43,751.86 = 17,556.12/x
  3. Step 3: Cross multiply
    31,706.84x = 43,751.86 × 17,556.12
  4. Step 4: Simplify right side
    31,706.84x = 768,112,904.38
  5. Step 5: Solve for x
    x = 768,112,904.38/31,706.84
  6. Step 6: Final answer
    x = 24,225.46

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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.