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Finding the Fourth Proportional to 76,806, 115,254.36 and 32,429.88

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Solution

The fourth proportional to 76,806, 115,254.36 and 32,429.88 is: 48,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806 : 115,254.36 = 32,429.88 : x
  2. Step 2: Convert to fraction form
    76,806/115,254.36 = 32,429.88/x
  3. Step 3: Cross multiply
    76,806x = 115,254.36 × 32,429.88
  4. Step 4: Simplify right side
    76,806x = 3,737,685,064.28
  5. Step 5: Solve for x
    x = 3,737,685,064.28/76,806
  6. Step 6: Final answer
    x = 48,663.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.