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Finding the Fourth Proportional to 65,057.19, 97,585.79 and 18,310.06

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Solution

The fourth proportional to 65,057.19, 97,585.79 and 18,310.06 is: 27,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.19 : 97,585.79 = 18,310.06 : x
  2. Step 2: Convert to fraction form
    65,057.19/97,585.79 = 18,310.06/x
  3. Step 3: Cross multiply
    65,057.19x = 97,585.79 × 18,310.06
  4. Step 4: Simplify right side
    65,057.19x = 1,786,801,670.05
  5. Step 5: Solve for x
    x = 1,786,801,670.05/65,057.19
  6. Step 6: Final answer
    x = 27,465.09

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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.