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Finding the Fourth Proportional to 47,107.08, 70,616.79 and 32,322.96

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Solution

The fourth proportional to 47,107.08, 70,616.79 and 32,322.96 is: 48,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,107.08 : 70,616.79 = 32,322.96 : x
  2. Step 2: Convert to fraction form
    47,107.08/70,616.79 = 32,322.96/x
  3. Step 3: Cross multiply
    47,107.08x = 70,616.79 × 32,322.96
  4. Step 4: Simplify right side
    47,107.08x = 2,282,543,678.50
  5. Step 5: Solve for x
    x = 2,282,543,678.50/47,107.08
  6. Step 6: Final answer
    x = 48,454.37

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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.