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Finding the Fourth Proportional to 65,200.28, 97,800.41 and 35,601.96

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Solution

The fourth proportional to 65,200.28, 97,800.41 and 35,601.96 is: 53,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.28 : 97,800.41 = 35,601.96 : x
  2. Step 2: Convert to fraction form
    65,200.28/97,800.41 = 35,601.96/x
  3. Step 3: Cross multiply
    65,200.28x = 97,800.41 × 35,601.96
  4. Step 4: Simplify right side
    65,200.28x = 3,481,886,373.81
  5. Step 5: Solve for x
    x = 3,481,886,373.81/65,200.28
  6. Step 6: Final answer
    x = 53,402.94

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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.