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Finding the Fourth Proportional to 75,961.38, 113,770.74 and 36,547.98

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Solution

The fourth proportional to 75,961.38, 113,770.74 and 36,547.98 is: 54,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,961.38 : 113,770.74 = 36,547.98 : x
  2. Step 2: Convert to fraction form
    75,961.38/113,770.74 = 36,547.98/x
  3. Step 3: Cross multiply
    75,961.38x = 113,770.74 × 36,547.98
  4. Step 4: Simplify right side
    75,961.38x = 4,158,090,730.11
  5. Step 5: Solve for x
    x = 4,158,090,730.11/75,961.38
  6. Step 6: Final answer
    x = 54,739.54

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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.