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Finding the Fourth Proportional to 65,097.66, 97,626.78 and 27,657.39

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Solution

The fourth proportional to 65,097.66, 97,626.78 and 27,657.39 is: 41,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.66 : 97,626.78 = 27,657.39 : x
  2. Step 2: Convert to fraction form
    65,097.66/97,626.78 = 27,657.39/x
  3. Step 3: Cross multiply
    65,097.66x = 97,626.78 × 27,657.39
  4. Step 4: Simplify right side
    65,097.66x = 2,700,101,928.90
  5. Step 5: Solve for x
    x = 2,700,101,928.90/65,097.66
  6. Step 6: Final answer
    x = 41,477.71

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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.