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Finding the Fourth Proportional to 65,106.90, 97,659.99 and 27,661.19

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Solution

The fourth proportional to 65,106.90, 97,659.99 and 27,661.19 is: 41,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.90 : 97,659.99 = 27,661.19 : x
  2. Step 2: Convert to fraction form
    65,106.90/97,659.99 = 27,661.19/x
  3. Step 3: Cross multiply
    65,106.90x = 97,659.99 × 27,661.19
  4. Step 4: Simplify right side
    65,106.90x = 2,701,391,050.49
  5. Step 5: Solve for x
    x = 2,701,391,050.49/65,106.90
  6. Step 6: Final answer
    x = 41,491.62

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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.