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Finding the Fourth Proportional to 75,940.94, 113,895.45 and 34,865.70

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Solution

The fourth proportional to 75,940.94, 113,895.45 and 34,865.70 is: 52,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,940.94 : 113,895.45 = 34,865.70 : x
  2. Step 2: Convert to fraction form
    75,940.94/113,895.45 = 34,865.70/x
  3. Step 3: Cross multiply
    75,940.94x = 113,895.45 × 34,865.70
  4. Step 4: Simplify right side
    75,940.94x = 3,971,044,591.07
  5. Step 5: Solve for x
    x = 3,971,044,591.07/75,940.94
  6. Step 6: Final answer
    x = 52,291.23

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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.