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Finding the Fourth Proportional to 34,344.96, 51,524.82 and 10,652.01

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Solution

The fourth proportional to 34,344.96, 51,524.82 and 10,652.01 is: 15,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,344.96 : 51,524.82 = 10,652.01 : x
  2. Step 2: Convert to fraction form
    34,344.96/51,524.82 = 10,652.01/x
  3. Step 3: Cross multiply
    34,344.96x = 51,524.82 × 10,652.01
  4. Step 4: Simplify right side
    34,344.96x = 548,842,897.89
  5. Step 5: Solve for x
    x = 548,842,897.89/34,344.96
  6. Step 6: Final answer
    x = 15,980.30

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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.