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Finding the Fourth Proportional to 65,099.70, 97,649.55 and 23,536.98

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Solution

The fourth proportional to 65,099.70, 97,649.55 and 23,536.98 is: 35,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099.70 : 97,649.55 = 23,536.98 : x
  2. Step 2: Convert to fraction form
    65,099.70/97,649.55 = 23,536.98/x
  3. Step 3: Cross multiply
    65,099.70x = 97,649.55 × 23,536.98
  4. Step 4: Simplify right side
    65,099.70x = 2,298,375,505.36
  5. Step 5: Solve for x
    x = 2,298,375,505.36/65,099.70
  6. Step 6: Final answer
    x = 35,305.47

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1.5x scale

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.