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Finding the Fourth Proportional to 32,916, 49,374 and 8,292

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Solution

The fourth proportional to 32,916, 49,374 and 8,292 is: 12,438

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916 : 49,374 = 8,292 : x
  2. Step 2: Convert to fraction form
    32,916/49,374 = 8,292/x
  3. Step 3: Cross multiply
    32,916x = 49,374 × 8,292
  4. Step 4: Simplify right side
    32,916x = 409,409,208
  5. Step 5: Solve for x
    x = 409,409,208/32,916
  6. Step 6: Final answer
    x = 12,438

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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.