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Finding the Fourth Proportional to 34,122.63, 51,191.43 and 10,432.14

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Solution

The fourth proportional to 34,122.63, 51,191.43 and 10,432.14 is: 15,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122.63 : 51,191.43 = 10,432.14 : x
  2. Step 2: Convert to fraction form
    34,122.63/51,191.43 = 10,432.14/x
  3. Step 3: Cross multiply
    34,122.63x = 51,191.43 × 10,432.14
  4. Step 4: Simplify right side
    34,122.63x = 534,036,164.56
  5. Step 5: Solve for x
    x = 534,036,164.56/34,122.63
  6. Step 6: Final answer
    x = 15,650.50

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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.