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Finding the Fourth Proportional to 65,298.57, 97,984.77 and 27,855.11

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Solution

The fourth proportional to 65,298.57, 97,984.77 and 27,855.11 is: 41,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298.57 : 97,984.77 = 27,855.11 : x
  2. Step 2: Convert to fraction form
    65,298.57/97,984.77 = 27,855.11/x
  3. Step 3: Cross multiply
    65,298.57x = 97,984.77 × 27,855.11
  4. Step 4: Simplify right side
    65,298.57x = 2,729,376,232.08
  5. Step 5: Solve for x
    x = 2,729,376,232.08/65,298.57
  6. Step 6: Final answer
    x = 41,798.41

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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.