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Finding the Fourth Proportional to 39,099.66, 58,649.43 and 9,517.50

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Solution

The fourth proportional to 39,099.66, 58,649.43 and 9,517.50 is: 14,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,099.66 : 58,649.43 = 9,517.50 : x
  2. Step 2: Convert to fraction form
    39,099.66/58,649.43 = 9,517.50/x
  3. Step 3: Cross multiply
    39,099.66x = 58,649.43 × 9,517.50
  4. Step 4: Simplify right side
    39,099.66x = 558,195,950.03
  5. Step 5: Solve for x
    x = 558,195,950.03/39,099.66
  6. Step 6: Final answer
    x = 14,276.24

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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.