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Finding the Fourth Proportional to 50,985.92, 76,392.60 and 31,223.22

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Solution

The fourth proportional to 50,985.92, 76,392.60 and 31,223.22 is: 46,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,985.92 : 76,392.60 = 31,223.22 : x
  2. Step 2: Convert to fraction form
    50,985.92/76,392.60 = 31,223.22/x
  3. Step 3: Cross multiply
    50,985.92x = 76,392.60 × 31,223.22
  4. Step 4: Simplify right side
    50,985.92x = 2,385,222,956.17
  5. Step 5: Solve for x
    x = 2,385,222,956.17/50,985.92
  6. Step 6: Final answer
    x = 46,781.99

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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.