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Finding the Fourth Proportional to 73,792.11, 110,688.21 and 31,644.99

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Solution

The fourth proportional to 73,792.11, 110,688.21 and 31,644.99 is: 47,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,792.11 : 110,688.21 = 31,644.99 : x
  2. Step 2: Convert to fraction form
    73,792.11/110,688.21 = 31,644.99/x
  3. Step 3: Cross multiply
    73,792.11x = 110,688.21 × 31,644.99
  4. Step 4: Simplify right side
    73,792.11x = 3,502,727,298.57
  5. Step 5: Solve for x
    x = 3,502,727,298.57/73,792.11
  6. Step 6: Final answer
    x = 47,467.50

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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.