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Finding the Fourth Proportional to 33,830.10, 50,750.04 and 10,458.36

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Solution

The fourth proportional to 33,830.10, 50,750.04 and 10,458.36 is: 15,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.10 : 50,750.04 = 10,458.36 : x
  2. Step 2: Convert to fraction form
    33,830.10/50,750.04 = 10,458.36/x
  3. Step 3: Cross multiply
    33,830.10x = 50,750.04 × 10,458.36
  4. Step 4: Simplify right side
    33,830.10x = 530,762,188.33
  5. Step 5: Solve for x
    x = 530,762,188.33/33,830.10
  6. Step 6: Final answer
    x = 15,689.05

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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.