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Finding the Fourth Proportional to 50,887.50, 70,224.78 and 28,225.74

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Solution

The fourth proportional to 50,887.50, 70,224.78 and 28,225.74 is: 38,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,887.50 : 70,224.78 = 28,225.74 : x
  2. Step 2: Convert to fraction form
    50,887.50/70,224.78 = 28,225.74/x
  3. Step 3: Cross multiply
    50,887.50x = 70,224.78 × 28,225.74
  4. Step 4: Simplify right side
    50,887.50x = 1,982,146,381.84
  5. Step 5: Solve for x
    x = 1,982,146,381.84/50,887.50
  6. Step 6: Final answer
    x = 38,951.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.