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Finding the Fourth Proportional to 38,293, 57,442.62 and 10,591.24

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Solution

The fourth proportional to 38,293, 57,442.62 and 10,591.24 is: 15,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293 : 57,442.62 = 10,591.24 : x
  2. Step 2: Convert to fraction form
    38,293/57,442.62 = 10,591.24/x
  3. Step 3: Cross multiply
    38,293x = 57,442.62 × 10,591.24
  4. Step 4: Simplify right side
    38,293x = 608,388,574.65
  5. Step 5: Solve for x
    x = 608,388,574.65/38,293
  6. Step 6: Final answer
    x = 15,887.72

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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.