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Finding the Fourth Proportional to 65,191.63, 97,834.07 and 27,777.91

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Solution

The fourth proportional to 65,191.63, 97,834.07 and 27,777.91 is: 41,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.63 : 97,834.07 = 27,777.91 : x
  2. Step 2: Convert to fraction form
    65,191.63/97,834.07 = 27,777.91/x
  3. Step 3: Cross multiply
    65,191.63x = 97,834.07 × 27,777.91
  4. Step 4: Simplify right side
    65,191.63x = 2,717,625,852.50
  5. Step 5: Solve for x
    x = 2,717,625,852.50/65,191.63
  6. Step 6: Final answer
    x = 41,686.73

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1.5x scale

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.