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Finding the Fourth Proportional to 91,782.96, 137,716.56 and 54,417.12

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Solution

The fourth proportional to 91,782.96, 137,716.56 and 54,417.12 is: 81,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,782.96 : 137,716.56 = 54,417.12 : x
  2. Step 2: Convert to fraction form
    91,782.96/137,716.56 = 54,417.12/x
  3. Step 3: Cross multiply
    91,782.96x = 137,716.56 × 54,417.12
  4. Step 4: Simplify right side
    91,782.96x = 7,494,138,571.51
  5. Step 5: Solve for x
    x = 7,494,138,571.51/91,782.96
  6. Step 6: Final answer
    x = 81,650.65

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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.