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Finding the Fourth Proportional to 30,850.32, 46,275.47 and 10,073.82

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Solution

The fourth proportional to 30,850.32, 46,275.47 and 10,073.82 is: 15,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.32 : 46,275.47 = 10,073.82 : x
  2. Step 2: Convert to fraction form
    30,850.32/46,275.47 = 10,073.82/x
  3. Step 3: Cross multiply
    30,850.32x = 46,275.47 × 10,073.82
  4. Step 4: Simplify right side
    30,850.32x = 466,170,704.83
  5. Step 5: Solve for x
    x = 466,170,704.83/30,850.32
  6. Step 6: Final answer
    x = 15,110.73

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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.