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Finding the Fourth Proportional to 97,404.40, 145,991.40 and 50,633.20

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Solution

The fourth proportional to 97,404.40, 145,991.40 and 50,633.20 is: 75,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,404.40 : 145,991.40 = 50,633.20 : x
  2. Step 2: Convert to fraction form
    97,404.40/145,991.40 = 50,633.20/x
  3. Step 3: Cross multiply
    97,404.40x = 145,991.40 × 50,633.20
  4. Step 4: Simplify right side
    97,404.40x = 7,392,011,754.48
  5. Step 5: Solve for x
    x = 7,392,011,754.48/97,404.40
  6. Step 6: Final answer
    x = 75,889.92

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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.