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Finding the Fourth Proportional to 75,004.60, 112,523.10 and 22,419.40

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Solution

The fourth proportional to 75,004.60, 112,523.10 and 22,419.40 is: 33,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004.60 : 112,523.10 = 22,419.40 : x
  2. Step 2: Convert to fraction form
    75,004.60/112,523.10 = 22,419.40/x
  3. Step 3: Cross multiply
    75,004.60x = 112,523.10 × 22,419.40
  4. Step 4: Simplify right side
    75,004.60x = 2,522,700,388.14
  5. Step 5: Solve for x
    x = 2,522,700,388.14/75,004.60
  6. Step 6: Final answer
    x = 33,633.94

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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.