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Finding the Fourth Proportional to 31,491.78, 43,461.12 and 17,347.14

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Solution

The fourth proportional to 31,491.78, 43,461.12 and 17,347.14 is: 23,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491.78 : 43,461.12 = 17,347.14 : x
  2. Step 2: Convert to fraction form
    31,491.78/43,461.12 = 17,347.14/x
  3. Step 3: Cross multiply
    31,491.78x = 43,461.12 × 17,347.14
  4. Step 4: Simplify right side
    31,491.78x = 753,926,133.20
  5. Step 5: Solve for x
    x = 753,926,133.20/31,491.78
  6. Step 6: Final answer
    x = 23,940.41

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1.5x scale

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.