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Finding the Fourth Proportional to 110,406.40, 165,631.20 and 47,226.40

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Solution

The fourth proportional to 110,406.40, 165,631.20 and 47,226.40 is: 70,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,406.40 : 165,631.20 = 47,226.40 : x
  2. Step 2: Convert to fraction form
    110,406.40/165,631.20 = 47,226.40/x
  3. Step 3: Cross multiply
    110,406.40x = 165,631.20 × 47,226.40
  4. Step 4: Simplify right side
    110,406.40x = 7,822,165,303.68
  5. Step 5: Solve for x
    x = 7,822,165,303.68/110,406.40
  6. Step 6: Final answer
    x = 70,848.84

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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.