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Finding the Fourth Proportional to 75,835.84, 113,601.48 and 37,770.40

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Solution

The fourth proportional to 75,835.84, 113,601.48 and 37,770.40 is: 56,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.84 : 113,601.48 = 37,770.40 : x
  2. Step 2: Convert to fraction form
    75,835.84/113,601.48 = 37,770.40/x
  3. Step 3: Cross multiply
    75,835.84x = 113,601.48 × 37,770.40
  4. Step 4: Simplify right side
    75,835.84x = 4,290,773,340.19
  5. Step 5: Solve for x
    x = 4,290,773,340.19/75,835.84
  6. Step 6: Final answer
    x = 56,579.76

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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.