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Finding the Fourth Proportional to 75,871.05, 113,806.58 and 36,505.05

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Solution

The fourth proportional to 75,871.05, 113,806.58 and 36,505.05 is: 54,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,871.05 : 113,806.58 = 36,505.05 : x
  2. Step 2: Convert to fraction form
    75,871.05/113,806.58 = 36,505.05/x
  3. Step 3: Cross multiply
    75,871.05x = 113,806.58 × 36,505.05
  4. Step 4: Simplify right side
    75,871.05x = 4,154,514,710.70
  5. Step 5: Solve for x
    x = 4,154,514,710.70/75,871.05
  6. Step 6: Final answer
    x = 54,757.58

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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.