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Finding the Fourth Proportional to 53,643.60, 80,311.80 and 32,907.60

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Solution

The fourth proportional to 53,643.60, 80,311.80 and 32,907.60 is: 49,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.60 : 80,311.80 = 32,907.60 : x
  2. Step 2: Convert to fraction form
    53,643.60/80,311.80 = 32,907.60/x
  3. Step 3: Cross multiply
    53,643.60x = 80,311.80 × 32,907.60
  4. Step 4: Simplify right side
    53,643.60x = 2,642,868,589.68
  5. Step 5: Solve for x
    x = 2,642,868,589.68/53,643.60
  6. Step 6: Final answer
    x = 49,267.17

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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.