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Finding the Fourth Proportional to 65,358.01, 97,997.52 and 29,327.89

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Solution

The fourth proportional to 65,358.01, 97,997.52 and 29,327.89 is: 43,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358.01 : 97,997.52 = 29,327.89 : x
  2. Step 2: Convert to fraction form
    65,358.01/97,997.52 = 29,327.89/x
  3. Step 3: Cross multiply
    65,358.01x = 97,997.52 × 29,327.89
  4. Step 4: Simplify right side
    65,358.01x = 2,874,060,486.83
  5. Step 5: Solve for x
    x = 2,874,060,486.83/65,358.01
  6. Step 6: Final answer
    x = 43,974.11

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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.