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Finding the Fourth Proportional to 110,417.40, 165,626.10 and 27,311.40

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Solution

The fourth proportional to 110,417.40, 165,626.10 and 27,311.40 is: 40,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,417.40 : 165,626.10 = 27,311.40 : x
  2. Step 2: Convert to fraction form
    110,417.40/165,626.10 = 27,311.40/x
  3. Step 3: Cross multiply
    110,417.40x = 165,626.10 × 27,311.40
  4. Step 4: Simplify right side
    110,417.40x = 4,523,480,667.54
  5. Step 5: Solve for x
    x = 4,523,480,667.54/110,417.40
  6. Step 6: Final answer
    x = 40,967.10

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