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Finding the Fourth Proportional to 65,102.81, 97,662.02 and 22,974.19

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Solution

The fourth proportional to 65,102.81, 97,662.02 and 22,974.19 is: 34,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.81 : 97,662.02 = 22,974.19 : x
  2. Step 2: Convert to fraction form
    65,102.81/97,662.02 = 22,974.19/x
  3. Step 3: Cross multiply
    65,102.81x = 97,662.02 × 22,974.19
  4. Step 4: Simplify right side
    65,102.81x = 2,243,705,573.47
  5. Step 5: Solve for x
    x = 2,243,705,573.47/65,102.81
  6. Step 6: Final answer
    x = 34,464.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.