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Finding the Fourth Proportional to 33,725.72, 50,578.98 and 10,032.30

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Solution

The fourth proportional to 33,725.72, 50,578.98 and 10,032.30 is: 15,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,725.72 : 50,578.98 = 10,032.30 : x
  2. Step 2: Convert to fraction form
    33,725.72/50,578.98 = 10,032.30/x
  3. Step 3: Cross multiply
    33,725.72x = 50,578.98 × 10,032.30
  4. Step 4: Simplify right side
    33,725.72x = 507,423,501.05
  5. Step 5: Solve for x
    x = 507,423,501.05/33,725.72
  6. Step 6: Final answer
    x = 15,045.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.