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Finding the Fourth Proportional to 107,672.46, 161,508.70 and 28,784.64

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Solution

The fourth proportional to 107,672.46, 161,508.70 and 28,784.64 is: 43,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,672.46 : 161,508.70 = 28,784.64 : x
  2. Step 2: Convert to fraction form
    107,672.46/161,508.70 = 28,784.64/x
  3. Step 3: Cross multiply
    107,672.46x = 161,508.70 × 28,784.64
  4. Step 4: Simplify right side
    107,672.46x = 4,648,969,973.76
  5. Step 5: Solve for x
    x = 4,648,969,973.76/107,672.46
  6. Step 6: Final answer
    x = 43,176.96

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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.