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Finding the Fourth Proportional to 75,796.29, 113,773.28 and 55,828.32

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Solution

The fourth proportional to 75,796.29, 113,773.28 and 55,828.32 is: 83,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,796.29 : 113,773.28 = 55,828.32 : x
  2. Step 2: Convert to fraction form
    75,796.29/113,773.28 = 55,828.32/x
  3. Step 3: Cross multiply
    75,796.29x = 113,773.28 × 55,828.32
  4. Step 4: Simplify right side
    75,796.29x = 6,351,771,083.29
  5. Step 5: Solve for x
    x = 6,351,771,083.29/75,796.29
  6. Step 6: Final answer
    x = 83,800.55

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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.