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Finding the Fourth Proportional to 31,466.76, 43,422.48 and 17,316.88

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Solution

The fourth proportional to 31,466.76, 43,422.48 and 17,316.88 is: 23,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466.76 : 43,422.48 = 17,316.88 : x
  2. Step 2: Convert to fraction form
    31,466.76/43,422.48 = 17,316.88/x
  3. Step 3: Cross multiply
    31,466.76x = 43,422.48 × 17,316.88
  4. Step 4: Simplify right side
    31,466.76x = 751,941,875.46
  5. Step 5: Solve for x
    x = 751,941,875.46/31,466.76
  6. Step 6: Final answer
    x = 23,896.39

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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.