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Finding the Fourth Proportional to 95,766.50, 143,649.76 and 30,102.50

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Solution

The fourth proportional to 95,766.50, 143,649.76 and 30,102.50 is: 45,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,766.50 : 143,649.76 = 30,102.50 : x
  2. Step 2: Convert to fraction form
    95,766.50/143,649.76 = 30,102.50/x
  3. Step 3: Cross multiply
    95,766.50x = 143,649.76 × 30,102.50
  4. Step 4: Simplify right side
    95,766.50x = 4,324,216,900.40
  5. Step 5: Solve for x
    x = 4,324,216,900.40/95,766.50
  6. Step 6: Final answer
    x = 45,153.75

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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.