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Finding the Fourth Proportional to 96,226.88, 132,782.24 and 53,784

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Solution

The fourth proportional to 96,226.88, 132,782.24 and 53,784 is: 74,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,226.88 : 132,782.24 = 53,784 : x
  2. Step 2: Convert to fraction form
    96,226.88/132,782.24 = 53,784/x
  3. Step 3: Cross multiply
    96,226.88x = 132,782.24 × 53,784
  4. Step 4: Simplify right side
    96,226.88x = 7,141,559,996.16
  5. Step 5: Solve for x
    x = 7,141,559,996.16/96,226.88
  6. Step 6: Final answer
    x = 74,215.85

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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.