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Finding the Fourth Proportional to 40,189.48, 55,460.54 and 22,284.32

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Solution

The fourth proportional to 40,189.48, 55,460.54 and 22,284.32 is: 30,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189.48 : 55,460.54 = 22,284.32 : x
  2. Step 2: Convert to fraction form
    40,189.48/55,460.54 = 22,284.32/x
  3. Step 3: Cross multiply
    40,189.48x = 55,460.54 × 22,284.32
  4. Step 4: Simplify right side
    40,189.48x = 1,235,900,420.73
  5. Step 5: Solve for x
    x = 1,235,900,420.73/40,189.48
  6. Step 6: Final answer
    x = 30,751.84

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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.