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Finding the Fourth Proportional to 96,644.61, 133,376.22 and 54,205.88

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Solution

The fourth proportional to 96,644.61, 133,376.22 and 54,205.88 is: 74,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,644.61 : 133,376.22 = 54,205.88 : x
  2. Step 2: Convert to fraction form
    96,644.61/133,376.22 = 54,205.88/x
  3. Step 3: Cross multiply
    96,644.61x = 133,376.22 × 54,205.88
  4. Step 4: Simplify right side
    96,644.61x = 7,229,774,709.29
  5. Step 5: Solve for x
    x = 7,229,774,709.29/96,644.61
  6. Step 6: Final answer
    x = 74,807.84

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Why These Related Problems?

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