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Finding the Fourth Proportional to 33,430.86, 50,149.48 and 9,415.10

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Solution

The fourth proportional to 33,430.86, 50,149.48 and 9,415.10 is: 14,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,430.86 : 50,149.48 = 9,415.10 : x
  2. Step 2: Convert to fraction form
    33,430.86/50,149.48 = 9,415.10/x
  3. Step 3: Cross multiply
    33,430.86x = 50,149.48 × 9,415.10
  4. Step 4: Simplify right side
    33,430.86x = 472,162,369.15
  5. Step 5: Solve for x
    x = 472,162,369.15/33,430.86
  6. Step 6: Final answer
    x = 14,123.55

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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.