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Finding the Fourth Proportional to 100,464.60, 150,524.10 and 53,009.40

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Solution

The fourth proportional to 100,464.60, 150,524.10 and 53,009.40 is: 79,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,464.60 : 150,524.10 = 53,009.40 : x
  2. Step 2: Convert to fraction form
    100,464.60/150,524.10 = 53,009.40/x
  3. Step 3: Cross multiply
    100,464.60x = 150,524.10 × 53,009.40
  4. Step 4: Simplify right side
    100,464.60x = 7,979,192,226.54
  5. Step 5: Solve for x
    x = 7,979,192,226.54/100,464.60
  6. Step 6: Final answer
    x = 79,422.92

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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.