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Finding the Fourth Proportional to 65,042.30, 97,542.69 and 20,658.67

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Solution

The fourth proportional to 65,042.30, 97,542.69 and 20,658.67 is: 30,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.30 : 97,542.69 = 20,658.67 : x
  2. Step 2: Convert to fraction form
    65,042.30/97,542.69 = 20,658.67/x
  3. Step 3: Cross multiply
    65,042.30x = 97,542.69 × 20,658.67
  4. Step 4: Simplify right side
    65,042.30x = 2,015,101,755.91
  5. Step 5: Solve for x
    x = 2,015,101,755.91/65,042.30
  6. Step 6: Final answer
    x = 30,981.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.