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Finding the Fourth Proportional to 65,233.10, 97,849.65 and 20,861.30

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Solution

The fourth proportional to 65,233.10, 97,849.65 and 20,861.30 is: 31,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.10 : 97,849.65 = 20,861.30 : x
  2. Step 2: Convert to fraction form
    65,233.10/97,849.65 = 20,861.30/x
  3. Step 3: Cross multiply
    65,233.10x = 97,849.65 × 20,861.30
  4. Step 4: Simplify right side
    65,233.10x = 2,041,270,903.55
  5. Step 5: Solve for x
    x = 2,041,270,903.55/65,233.10
  6. Step 6: Final answer
    x = 31,291.95

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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.