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Finding the Fourth Proportional to 31,452.64, 43,404.75 and 17,112.46

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Solution

The fourth proportional to 31,452.64, 43,404.75 and 17,112.46 is: 23,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,452.64 : 43,404.75 = 17,112.46 : x
  2. Step 2: Convert to fraction form
    31,452.64/43,404.75 = 17,112.46/x
  3. Step 3: Cross multiply
    31,452.64x = 43,404.75 × 17,112.46
  4. Step 4: Simplify right side
    31,452.64x = 742,762,048.19
  5. Step 5: Solve for x
    x = 742,762,048.19/31,452.64
  6. Step 6: Final answer
    x = 23,615.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.