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Finding the Fourth Proportional to 40,205.68, 55,482.42 and 22,302.34

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Solution

The fourth proportional to 40,205.68, 55,482.42 and 22,302.34 is: 30,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,205.68 : 55,482.42 = 22,302.34 : x
  2. Step 2: Convert to fraction form
    40,205.68/55,482.42 = 22,302.34/x
  3. Step 3: Cross multiply
    40,205.68x = 55,482.42 × 22,302.34
  4. Step 4: Simplify right side
    40,205.68x = 1,237,387,794.86
  5. Step 5: Solve for x
    x = 1,237,387,794.86/40,205.68
  6. Step 6: Final answer
    x = 30,776.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.