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Finding the Fourth Proportional to 38,197.50, 57,310.86 and 14,825.76

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Solution

The fourth proportional to 38,197.50, 57,310.86 and 14,825.76 is: 22,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.50 : 57,310.86 = 14,825.76 : x
  2. Step 2: Convert to fraction form
    38,197.50/57,310.86 = 14,825.76/x
  3. Step 3: Cross multiply
    38,197.50x = 57,310.86 × 14,825.76
  4. Step 4: Simplify right side
    38,197.50x = 849,677,055.75
  5. Step 5: Solve for x
    x = 849,677,055.75/38,197.50
  6. Step 6: Final answer
    x = 22,244.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.