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Finding the Fourth Proportional to 65,099.70, 97,564.50 and 35,509.59

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Solution

The fourth proportional to 65,099.70, 97,564.50 and 35,509.59 is: 53,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099.70 : 97,564.50 = 35,509.59 : x
  2. Step 2: Convert to fraction form
    65,099.70/97,564.50 = 35,509.59/x
  3. Step 3: Cross multiply
    65,099.70x = 97,564.50 × 35,509.59
  4. Step 4: Simplify right side
    65,099.70x = 3,464,475,393.56
  5. Step 5: Solve for x
    x = 3,464,475,393.56/65,099.70
  6. Step 6: Final answer
    x = 53,217.99

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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.