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Finding the Fourth Proportional to 72,916.81, 109,252.09 and 44,778.22

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Solution

The fourth proportional to 72,916.81, 109,252.09 and 44,778.22 is: 67,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,916.81 : 109,252.09 = 44,778.22 : x
  2. Step 2: Convert to fraction form
    72,916.81/109,252.09 = 44,778.22/x
  3. Step 3: Cross multiply
    72,916.81x = 109,252.09 × 44,778.22
  4. Step 4: Simplify right side
    72,916.81x = 4,892,114,121.48
  5. Step 5: Solve for x
    x = 4,892,114,121.48/72,916.81
  6. Step 6: Final answer
    x = 67,091.72

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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.