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Finding the Fourth Proportional to 73,872.70, 110,809.05 and 65,416.30

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Solution

The fourth proportional to 73,872.70, 110,809.05 and 65,416.30 is: 98,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872.70 : 110,809.05 = 65,416.30 : x
  2. Step 2: Convert to fraction form
    73,872.70/110,809.05 = 65,416.30/x
  3. Step 3: Cross multiply
    73,872.70x = 110,809.05 × 65,416.30
  4. Step 4: Simplify right side
    73,872.70x = 7,248,718,057.52
  5. Step 5: Solve for x
    x = 7,248,718,057.52/73,872.70
  6. Step 6: Final answer
    x = 98,124.45

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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.