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Finding the Fourth Proportional to 42,099.84, 58,101.66 and 29,371.50

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Solution

The fourth proportional to 42,099.84, 58,101.66 and 29,371.50 is: 40,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099.84 : 58,101.66 = 29,371.50 : x
  2. Step 2: Convert to fraction form
    42,099.84/58,101.66 = 29,371.50/x
  3. Step 3: Cross multiply
    42,099.84x = 58,101.66 × 29,371.50
  4. Step 4: Simplify right side
    42,099.84x = 1,706,532,906.69
  5. Step 5: Solve for x
    x = 1,706,532,906.69/42,099.84
  6. Step 6: Final answer
    x = 40,535.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.