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Finding the Fourth Proportional to 32,014, 48,021 and 10,126

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Solution

The fourth proportional to 32,014, 48,021 and 10,126 is: 15,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014 : 48,021 = 10,126 : x
  2. Step 2: Convert to fraction form
    32,014/48,021 = 10,126/x
  3. Step 3: Cross multiply
    32,014x = 48,021 × 10,126
  4. Step 4: Simplify right side
    32,014x = 486,260,646
  5. Step 5: Solve for x
    x = 486,260,646/32,014
  6. Step 6: Final answer
    x = 15,189

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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.