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Finding the Fourth Proportional to 39,376, 59,064 and 10,192

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Solution

The fourth proportional to 39,376, 59,064 and 10,192 is: 15,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,376 : 59,064 = 10,192 : x
  2. Step 2: Convert to fraction form
    39,376/59,064 = 10,192/x
  3. Step 3: Cross multiply
    39,376x = 59,064 × 10,192
  4. Step 4: Simplify right side
    39,376x = 601,980,288
  5. Step 5: Solve for x
    x = 601,980,288/39,376
  6. Step 6: Final answer
    x = 15,288

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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.