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Finding the Fourth Proportional to 39,152.42, 54,033 and 22,156.64

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Solution

The fourth proportional to 39,152.42, 54,033 and 22,156.64 is: 30,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,152.42 : 54,033 = 22,156.64 : x
  2. Step 2: Convert to fraction form
    39,152.42/54,033 = 22,156.64/x
  3. Step 3: Cross multiply
    39,152.42x = 54,033 × 22,156.64
  4. Step 4: Simplify right side
    39,152.42x = 1,197,189,729.12
  5. Step 5: Solve for x
    x = 1,197,189,729.12/39,152.42
  6. Step 6: Final answer
    x = 30,577.67

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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.