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Finding the Fourth Proportional to 65,021.60, 97,535.10 and 20,647.10

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Solution

The fourth proportional to 65,021.60, 97,535.10 and 20,647.10 is: 30,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,021.60 : 97,535.10 = 20,647.10 : x
  2. Step 2: Convert to fraction form
    65,021.60/97,535.10 = 20,647.10/x
  3. Step 3: Cross multiply
    65,021.60x = 97,535.10 × 20,647.10
  4. Step 4: Simplify right side
    65,021.60x = 2,013,816,963.21
  5. Step 5: Solve for x
    x = 2,013,816,963.21/65,021.60
  6. Step 6: Final answer
    x = 30,971.51

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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.