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Finding the Fourth Proportional to 65,066, 89,791.08 and 35,258

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Solution

The fourth proportional to 65,066, 89,791.08 and 35,258 is: 48,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,066 : 89,791.08 = 35,258 : x
  2. Step 2: Convert to fraction form
    65,066/89,791.08 = 35,258/x
  3. Step 3: Cross multiply
    65,066x = 89,791.08 × 35,258
  4. Step 4: Simplify right side
    65,066x = 3,165,853,898.64
  5. Step 5: Solve for x
    x = 3,165,853,898.64/65,066
  6. Step 6: Final answer
    x = 48,656.04

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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.