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Finding the Fourth Proportional to 110,294.81, 165,469.89 and 31,409.02

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Solution

The fourth proportional to 110,294.81, 165,469.89 and 31,409.02 is: 47,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,294.81 : 165,469.89 = 31,409.02 : x
  2. Step 2: Convert to fraction form
    110,294.81/165,469.89 = 31,409.02/x
  3. Step 3: Cross multiply
    110,294.81x = 165,469.89 × 31,409.02
  4. Step 4: Simplify right side
    110,294.81x = 5,197,246,301.59
  5. Step 5: Solve for x
    x = 5,197,246,301.59/110,294.81
  6. Step 6: Final answer
    x = 47,121.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.