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Finding the Fourth Proportional to 32,407, 48,610.50 and 10,519

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Solution

The fourth proportional to 32,407, 48,610.50 and 10,519 is: 15,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407 : 48,610.50 = 10,519 : x
  2. Step 2: Convert to fraction form
    32,407/48,610.50 = 10,519/x
  3. Step 3: Cross multiply
    32,407x = 48,610.50 × 10,519
  4. Step 4: Simplify right side
    32,407x = 511,333,849.50
  5. Step 5: Solve for x
    x = 511,333,849.50/32,407
  6. Step 6: Final answer
    x = 15,778.50

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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.