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Finding the Fourth Proportional to 75,496.40, 113,244.20 and 19,336.40

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Solution

The fourth proportional to 75,496.40, 113,244.20 and 19,336.40 is: 29,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,496.40 : 113,244.20 = 19,336.40 : x
  2. Step 2: Convert to fraction form
    75,496.40/113,244.20 = 19,336.40/x
  3. Step 3: Cross multiply
    75,496.40x = 113,244.20 × 19,336.40
  4. Step 4: Simplify right side
    75,496.40x = 2,189,735,148.88
  5. Step 5: Solve for x
    x = 2,189,735,148.88/75,496.40
  6. Step 6: Final answer
    x = 29,004.50

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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.