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Finding the Fourth Proportional to 65,002.14, 97,506.68 and 20,632.37

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Solution

The fourth proportional to 65,002.14, 97,506.68 and 20,632.37 is: 30,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.14 : 97,506.68 = 20,632.37 : x
  2. Step 2: Convert to fraction form
    65,002.14/97,506.68 = 20,632.37/x
  3. Step 3: Cross multiply
    65,002.14x = 97,506.68 × 20,632.37
  4. Step 4: Simplify right side
    65,002.14x = 2,011,793,308.54
  5. Step 5: Solve for x
    x = 2,011,793,308.54/65,002.14
  6. Step 6: Final answer
    x = 30,949.65

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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.