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Finding the Fourth Proportional to 75,776.53, 113,652.55 and 35,795.43

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Solution

The fourth proportional to 75,776.53, 113,652.55 and 35,795.43 is: 53,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,776.53 : 113,652.55 = 35,795.43 : x
  2. Step 2: Convert to fraction form
    75,776.53/113,652.55 = 35,795.43/x
  3. Step 3: Cross multiply
    75,776.53x = 113,652.55 × 35,795.43
  4. Step 4: Simplify right side
    75,776.53x = 4,068,241,897.85
  5. Step 5: Solve for x
    x = 4,068,241,897.85/75,776.53
  6. Step 6: Final answer
    x = 53,687.36

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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.