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Finding the Fourth Proportional to 65,220.07, 97,825.32 and 20,834.90

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Solution

The fourth proportional to 65,220.07, 97,825.32 and 20,834.90 is: 31,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,220.07 : 97,825.32 = 20,834.90 : x
  2. Step 2: Convert to fraction form
    65,220.07/97,825.32 = 20,834.90/x
  3. Step 3: Cross multiply
    65,220.07x = 97,825.32 × 20,834.90
  4. Step 4: Simplify right side
    65,220.07x = 2,038,181,004.23
  5. Step 5: Solve for x
    x = 2,038,181,004.23/65,220.07
  6. Step 6: Final answer
    x = 31,250.83

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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.