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Finding the Fourth Proportional to 76,872, 106,083.36 and 41,544

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Solution

The fourth proportional to 76,872, 106,083.36 and 41,544 is: 57,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,872 : 106,083.36 = 41,544 : x
  2. Step 2: Convert to fraction form
    76,872/106,083.36 = 41,544/x
  3. Step 3: Cross multiply
    76,872x = 106,083.36 × 41,544
  4. Step 4: Simplify right side
    76,872x = 4,407,127,107.84
  5. Step 5: Solve for x
    x = 4,407,127,107.84/76,872
  6. Step 6: Final answer
    x = 57,330.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.