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Finding the Fourth Proportional to 65,034.87, 97,542.13 and 20,655.78

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Solution

The fourth proportional to 65,034.87, 97,542.13 and 20,655.78 is: 30,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034.87 : 97,542.13 = 20,655.78 : x
  2. Step 2: Convert to fraction form
    65,034.87/97,542.13 = 20,655.78/x
  3. Step 3: Cross multiply
    65,034.87x = 97,542.13 × 20,655.78
  4. Step 4: Simplify right side
    65,034.87x = 2,014,808,778.01
  5. Step 5: Solve for x
    x = 2,014,808,778.01/65,034.87
  6. Step 6: Final answer
    x = 30,980.44

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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.