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Finding the Fourth Proportional to 38,887.50, 58,283.87 and 20,157.22

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Solution

The fourth proportional to 38,887.50, 58,283.87 and 20,157.22 is: 30,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,887.50 : 58,283.87 = 20,157.22 : x
  2. Step 2: Convert to fraction form
    38,887.50/58,283.87 = 20,157.22/x
  3. Step 3: Cross multiply
    38,887.50x = 58,283.87 × 20,157.22
  4. Step 4: Simplify right side
    38,887.50x = 1,174,840,762.11
  5. Step 5: Solve for x
    x = 1,174,840,762.11/38,887.50
  6. Step 6: Final answer
    x = 30,211.27

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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.