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Finding the Fourth Proportional to 40,819.60, 61,200.60 and 18,643.60

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Solution

The fourth proportional to 40,819.60, 61,200.60 and 18,643.60 is: 27,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,819.60 : 61,200.60 = 18,643.60 : x
  2. Step 2: Convert to fraction form
    40,819.60/61,200.60 = 18,643.60/x
  3. Step 3: Cross multiply
    40,819.60x = 61,200.60 × 18,643.60
  4. Step 4: Simplify right side
    40,819.60x = 1,140,999,506.16
  5. Step 5: Solve for x
    x = 1,140,999,506.16/40,819.60
  6. Step 6: Final answer
    x = 27,952.25

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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.