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Finding the Fourth Proportional to 65,210.50, 97,829.70 and 20,230.88

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Solution

The fourth proportional to 65,210.50, 97,829.70 and 20,230.88 is: 30,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.50 : 97,829.70 = 20,230.88 : x
  2. Step 2: Convert to fraction form
    65,210.50/97,829.70 = 20,230.88/x
  3. Step 3: Cross multiply
    65,210.50x = 97,829.70 × 20,230.88
  4. Step 4: Simplify right side
    65,210.50x = 1,979,180,921.14
  5. Step 5: Solve for x
    x = 1,979,180,921.14/65,210.50
  6. Step 6: Final answer
    x = 30,350.65

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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.