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Finding the Fourth Proportional to 67,643.20, 101,464.80 and 32,651.20

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Solution

The fourth proportional to 67,643.20, 101,464.80 and 32,651.20 is: 48,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,643.20 : 101,464.80 = 32,651.20 : x
  2. Step 2: Convert to fraction form
    67,643.20/101,464.80 = 32,651.20/x
  3. Step 3: Cross multiply
    67,643.20x = 101,464.80 × 32,651.20
  4. Step 4: Simplify right side
    67,643.20x = 3,312,947,477.76
  5. Step 5: Solve for x
    x = 3,312,947,477.76/67,643.20
  6. Step 6: Final answer
    x = 48,976.80

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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.