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Finding the Fourth Proportional to 37,950, 56,925 and 10,248

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Solution

The fourth proportional to 37,950, 56,925 and 10,248 is: 15,372

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,950 : 56,925 = 10,248 : x
  2. Step 2: Convert to fraction form
    37,950/56,925 = 10,248/x
  3. Step 3: Cross multiply
    37,950x = 56,925 × 10,248
  4. Step 4: Simplify right side
    37,950x = 583,367,400
  5. Step 5: Solve for x
    x = 583,367,400/37,950
  6. Step 6: Final answer
    x = 15,372

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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.