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Finding the Fourth Proportional to 39,184.68, 54,074.10 and 22,188.64

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Solution

The fourth proportional to 39,184.68, 54,074.10 and 22,188.64 is: 30,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,184.68 : 54,074.10 = 22,188.64 : x
  2. Step 2: Convert to fraction form
    39,184.68/54,074.10 = 22,188.64/x
  3. Step 3: Cross multiply
    39,184.68x = 54,074.10 × 22,188.64
  4. Step 4: Simplify right side
    39,184.68x = 1,199,830,738.22
  5. Step 5: Solve for x
    x = 1,199,830,738.22/39,184.68
  6. Step 6: Final answer
    x = 30,619.89

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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.