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Finding the Fourth Proportional to 38,232, 57,348 and 10,530

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Solution

The fourth proportional to 38,232, 57,348 and 10,530 is: 15,795

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232 : 57,348 = 10,530 : x
  2. Step 2: Convert to fraction form
    38,232/57,348 = 10,530/x
  3. Step 3: Cross multiply
    38,232x = 57,348 × 10,530
  4. Step 4: Simplify right side
    38,232x = 603,874,440
  5. Step 5: Solve for x
    x = 603,874,440/38,232
  6. Step 6: Final answer
    x = 15,795

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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.