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Finding the Fourth Proportional to 81,392.16, 121,869.50 and 51,648.96

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Solution

The fourth proportional to 81,392.16, 121,869.50 and 51,648.96 is: 77,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,392.16 : 121,869.50 = 51,648.96 : x
  2. Step 2: Convert to fraction form
    81,392.16/121,869.50 = 51,648.96/x
  3. Step 3: Cross multiply
    81,392.16x = 121,869.50 × 51,648.96
  4. Step 4: Simplify right side
    81,392.16x = 6,294,432,930.72
  5. Step 5: Solve for x
    x = 6,294,432,930.72/81,392.16
  6. Step 6: Final answer
    x = 77,334.63

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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.