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Finding the Fourth Proportional to 65,177.72, 97,777.17 and 20,188.57

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Solution

The fourth proportional to 65,177.72, 97,777.17 and 20,188.57 is: 30,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177.72 : 97,777.17 = 20,188.57 : x
  2. Step 2: Convert to fraction form
    65,177.72/97,777.17 = 20,188.57/x
  3. Step 3: Cross multiply
    65,177.72x = 97,777.17 × 20,188.57
  4. Step 4: Simplify right side
    65,177.72x = 1,973,980,651.12
  5. Step 5: Solve for x
    x = 1,973,980,651.12/65,177.72
  6. Step 6: Final answer
    x = 30,286.13

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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.