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Finding the Fourth Proportional to 65,210.00, 97,829.03 and 20,230.46

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Solution

The fourth proportional to 65,210.00, 97,829.03 and 20,230.46 is: 30,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.00 : 97,829.03 = 20,230.46 : x
  2. Step 2: Convert to fraction form
    65,210.00/97,829.03 = 20,230.46/x
  3. Step 3: Cross multiply
    65,210.00x = 97,829.03 × 20,230.46
  4. Step 4: Simplify right side
    65,210.00x = 1,979,125,687.96
  5. Step 5: Solve for x
    x = 1,979,125,687.96/65,210.00
  6. Step 6: Final answer
    x = 30,350.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.