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Finding the Fourth Proportional to 65,199.52, 97,846.16 and 27,786

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Solution

The fourth proportional to 65,199.52, 97,846.16 and 27,786 is: 41,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199.52 : 97,846.16 = 27,786 : x
  2. Step 2: Convert to fraction form
    65,199.52/97,846.16 = 27,786/x
  3. Step 3: Cross multiply
    65,199.52x = 97,846.16 × 27,786
  4. Step 4: Simplify right side
    65,199.52x = 2,718,753,401.76
  5. Step 5: Solve for x
    x = 2,718,753,401.76/65,199.52
  6. Step 6: Final answer
    x = 41,698.98

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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.