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Finding the Fourth Proportional to 38,283.66, 57,420.92 and 10,205.82

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Solution

The fourth proportional to 38,283.66, 57,420.92 and 10,205.82 is: 15,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.66 : 57,420.92 = 10,205.82 : x
  2. Step 2: Convert to fraction form
    38,283.66/57,420.92 = 10,205.82/x
  3. Step 3: Cross multiply
    38,283.66x = 57,420.92 × 10,205.82
  4. Step 4: Simplify right side
    38,283.66x = 586,027,573.75
  5. Step 5: Solve for x
    x = 586,027,573.75/38,283.66
  6. Step 6: Final answer
    x = 15,307.51

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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.