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Finding the Fourth Proportional to 76,032, 114,095.52 and 36,593.28

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Solution

The fourth proportional to 76,032, 114,095.52 and 36,593.28 is: 54,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,032 : 114,095.52 = 36,593.28 : x
  2. Step 2: Convert to fraction form
    76,032/114,095.52 = 36,593.28/x
  3. Step 3: Cross multiply
    76,032x = 114,095.52 × 36,593.28
  4. Step 4: Simplify right side
    76,032x = 4,175,129,310.11
  5. Step 5: Solve for x
    x = 4,175,129,310.11/76,032
  6. Step 6: Final answer
    x = 54,912.79

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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.