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Finding the Fourth Proportional to 32,276, 48,414 and 10,388

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Solution

The fourth proportional to 32,276, 48,414 and 10,388 is: 15,582

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,276 : 48,414 = 10,388 : x
  2. Step 2: Convert to fraction form
    32,276/48,414 = 10,388/x
  3. Step 3: Cross multiply
    32,276x = 48,414 × 10,388
  4. Step 4: Simplify right side
    32,276x = 502,924,632
  5. Step 5: Solve for x
    x = 502,924,632/32,276
  6. Step 6: Final answer
    x = 15,582

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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.