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Finding the Fourth Proportional to 56,533.76, 84,639.36 and 44,864

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Solution

The fourth proportional to 56,533.76, 84,639.36 and 44,864 is: 67,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,533.76 : 84,639.36 = 44,864 : x
  2. Step 2: Convert to fraction form
    56,533.76/84,639.36 = 44,864/x
  3. Step 3: Cross multiply
    56,533.76x = 84,639.36 × 44,864
  4. Step 4: Simplify right side
    56,533.76x = 3,797,260,247.04
  5. Step 5: Solve for x
    x = 3,797,260,247.04/56,533.76
  6. Step 6: Final answer
    x = 67,168.01

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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.