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Finding the Fourth Proportional to 39,102.42, 53,961.09 and 22,106.64

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Solution

The fourth proportional to 39,102.42, 53,961.09 and 22,106.64 is: 30,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102.42 : 53,961.09 = 22,106.64 : x
  2. Step 2: Convert to fraction form
    39,102.42/53,961.09 = 22,106.64/x
  3. Step 3: Cross multiply
    39,102.42x = 53,961.09 × 22,106.64
  4. Step 4: Simplify right side
    39,102.42x = 1,192,898,390.64
  5. Step 5: Solve for x
    x = 1,192,898,390.64/39,102.42
  6. Step 6: Final answer
    x = 30,507.02

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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.