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Finding the Fourth Proportional to 81,376.41, 122,127.12 and 36,411.69

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Solution

The fourth proportional to 81,376.41, 122,127.12 and 36,411.69 is: 54,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,376.41 : 122,127.12 = 36,411.69 : x
  2. Step 2: Convert to fraction form
    81,376.41/122,127.12 = 36,411.69/x
  3. Step 3: Cross multiply
    81,376.41x = 122,127.12 × 36,411.69
  4. Step 4: Simplify right side
    81,376.41x = 4,446,854,834.03
  5. Step 5: Solve for x
    x = 4,446,854,834.03/81,376.41
  6. Step 6: Final answer
    x = 54,645.50

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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.