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Finding the Fourth Proportional to 31,094.53, 42,911.61 and 17,668.06

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Solution

The fourth proportional to 31,094.53, 42,911.61 and 17,668.06 is: 24,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.53 : 42,911.61 = 17,668.06 : x
  2. Step 2: Convert to fraction form
    31,094.53/42,911.61 = 17,668.06/x
  3. Step 3: Cross multiply
    31,094.53x = 42,911.61 × 17,668.06
  4. Step 4: Simplify right side
    31,094.53x = 758,164,726.64
  5. Step 5: Solve for x
    x = 758,164,726.64/31,094.53
  6. Step 6: Final answer
    x = 24,382.58

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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.