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Finding the Fourth Proportional to 65,142.48, 97,732.20 and 33,575.67

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Solution

The fourth proportional to 65,142.48, 97,732.20 and 33,575.67 is: 50,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.48 : 97,732.20 = 33,575.67 : x
  2. Step 2: Convert to fraction form
    65,142.48/97,732.20 = 33,575.67/x
  3. Step 3: Cross multiply
    65,142.48x = 97,732.20 × 33,575.67
  4. Step 4: Simplify right side
    65,142.48x = 3,281,423,854.99
  5. Step 5: Solve for x
    x = 3,281,423,854.99/65,142.48
  6. Step 6: Final answer
    x = 50,373.03

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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.