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Finding the Fourth Proportional to 38,277, 57,415.74 and 10,575.24

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Solution

The fourth proportional to 38,277, 57,415.74 and 10,575.24 is: 15,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277 : 57,415.74 = 10,575.24 : x
  2. Step 2: Convert to fraction form
    38,277/57,415.74 = 10,575.24/x
  3. Step 3: Cross multiply
    38,277x = 57,415.74 × 10,575.24
  4. Step 4: Simplify right side
    38,277x = 607,185,230.28
  5. Step 5: Solve for x
    x = 607,185,230.28/38,277
  6. Step 6: Final answer
    x = 15,862.93

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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.