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Finding the Fourth Proportional to 65,294.10, 97,911.99 and 18,536.04

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Solution

The fourth proportional to 65,294.10, 97,911.99 and 18,536.04 is: 27,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.10 : 97,911.99 = 18,536.04 : x
  2. Step 2: Convert to fraction form
    65,294.10/97,911.99 = 18,536.04/x
  3. Step 3: Cross multiply
    65,294.10x = 97,911.99 × 18,536.04
  4. Step 4: Simplify right side
    65,294.10x = 1,814,900,563.12
  5. Step 5: Solve for x
    x = 1,814,900,563.12/65,294.10
  6. Step 6: Final answer
    x = 27,795.78

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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.