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Finding the Fourth Proportional to 38,222.50, 57,356.29 and 14,549.96

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Solution

The fourth proportional to 38,222.50, 57,356.29 and 14,549.96 is: 21,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,222.50 : 57,356.29 = 14,549.96 : x
  2. Step 2: Convert to fraction form
    38,222.50/57,356.29 = 14,549.96/x
  3. Step 3: Cross multiply
    38,222.50x = 57,356.29 × 14,549.96
  4. Step 4: Simplify right side
    38,222.50x = 834,531,804.98
  5. Step 5: Solve for x
    x = 834,531,804.98/38,222.50
  6. Step 6: Final answer
    x = 21,833.52

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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.