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Finding the Fourth Proportional to 81,901.40, 122,916.90 and 32,005.40

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Solution

The fourth proportional to 81,901.40, 122,916.90 and 32,005.40 is: 48,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,901.40 : 122,916.90 = 32,005.40 : x
  2. Step 2: Convert to fraction form
    81,901.40/122,916.90 = 32,005.40/x
  3. Step 3: Cross multiply
    81,901.40x = 122,916.90 × 32,005.40
  4. Step 4: Simplify right side
    81,901.40x = 3,934,004,551.26
  5. Step 5: Solve for x
    x = 3,934,004,551.26/81,901.40
  6. Step 6: Final answer
    x = 48,033.42

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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.