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Finding the Fourth Proportional to 46,403.20, 69,616.80 and 20,101.84

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Solution

The fourth proportional to 46,403.20, 69,616.80 and 20,101.84 is: 30,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,403.20 : 69,616.80 = 20,101.84 : x
  2. Step 2: Convert to fraction form
    46,403.20/69,616.80 = 20,101.84/x
  3. Step 3: Cross multiply
    46,403.20x = 69,616.80 × 20,101.84
  4. Step 4: Simplify right side
    46,403.20x = 1,399,425,774.91
  5. Step 5: Solve for x
    x = 1,399,425,774.91/46,403.20
  6. Step 6: Final answer
    x = 30,157.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.