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Finding the Fourth Proportional to 73,002.64, 109,504.06 and 20,412.08

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Solution

The fourth proportional to 73,002.64, 109,504.06 and 20,412.08 is: 30,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,002.64 : 109,504.06 = 20,412.08 : x
  2. Step 2: Convert to fraction form
    73,002.64/109,504.06 = 20,412.08/x
  3. Step 3: Cross multiply
    73,002.64x = 109,504.06 × 20,412.08
  4. Step 4: Simplify right side
    73,002.64x = 2,235,205,633.04
  5. Step 5: Solve for x
    x = 2,235,205,633.04/73,002.64
  6. Step 6: Final answer
    x = 30,618.15

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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.