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Finding the Fourth Proportional to 65,057.30, 97,585.98 and 18,310.17

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Solution

The fourth proportional to 65,057.30, 97,585.98 and 18,310.17 is: 27,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.30 : 97,585.98 = 18,310.17 : x
  2. Step 2: Convert to fraction form
    65,057.30/97,585.98 = 18,310.17/x
  3. Step 3: Cross multiply
    65,057.30x = 97,585.98 × 18,310.17
  4. Step 4: Simplify right side
    65,057.30x = 1,786,815,883.42
  5. Step 5: Solve for x
    x = 1,786,815,883.42/65,057.30
  6. Step 6: Final answer
    x = 27,465.26

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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.