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Finding the Fourth Proportional to 65,295.80, 97,830.30 and 30,163.40

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Solution

The fourth proportional to 65,295.80, 97,830.30 and 30,163.40 is: 45,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,295.80 : 97,830.30 = 30,163.40 : x
  2. Step 2: Convert to fraction form
    65,295.80/97,830.30 = 30,163.40/x
  3. Step 3: Cross multiply
    65,295.80x = 97,830.30 × 30,163.40
  4. Step 4: Simplify right side
    65,295.80x = 2,950,894,471.02
  5. Step 5: Solve for x
    x = 2,950,894,471.02/65,295.80
  6. Step 6: Final answer
    x = 45,192.71

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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.