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Finding the Fourth Proportional to 65,169.63, 97,666.02 and 27,682.70

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Solution

The fourth proportional to 65,169.63, 97,666.02 and 27,682.70 is: 41,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.63 : 97,666.02 = 27,682.70 : x
  2. Step 2: Convert to fraction form
    65,169.63/97,666.02 = 27,682.70/x
  3. Step 3: Cross multiply
    65,169.63x = 97,666.02 × 27,682.70
  4. Step 4: Simplify right side
    65,169.63x = 2,703,658,643.52
  5. Step 5: Solve for x
    x = 2,703,658,643.52/65,169.63
  6. Step 6: Final answer
    x = 41,486.48

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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.