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Finding the Fourth Proportional to 64,976.20, 97,388.70 and 29,919.40

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Solution

The fourth proportional to 64,976.20, 97,388.70 and 29,919.40 is: 44,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,976.20 : 97,388.70 = 29,919.40 : x
  2. Step 2: Convert to fraction form
    64,976.20/97,388.70 = 29,919.40/x
  3. Step 3: Cross multiply
    64,976.20x = 97,388.70 × 29,919.40
  4. Step 4: Simplify right side
    64,976.20x = 2,913,811,470.78
  5. Step 5: Solve for x
    x = 2,913,811,470.78/64,976.20
  6. Step 6: Final answer
    x = 44,844.29

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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.