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Finding the Fourth Proportional to 107,449.74, 161,174.34 and 28,563.93

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Solution

The fourth proportional to 107,449.74, 161,174.34 and 28,563.93 is: 42,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449.74 : 161,174.34 = 28,563.93 : x
  2. Step 2: Convert to fraction form
    107,449.74/161,174.34 = 28,563.93/x
  3. Step 3: Cross multiply
    107,449.74x = 161,174.34 × 28,563.93
  4. Step 4: Simplify right side
    107,449.74x = 4,603,772,565.56
  5. Step 5: Solve for x
    x = 4,603,772,565.56/107,449.74
  6. Step 6: Final answer
    x = 42,845.82

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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.