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Finding the Fourth Proportional to 32,241.74, 48,360.29 and 8,548.74

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Solution

The fourth proportional to 32,241.74, 48,360.29 and 8,548.74 is: 12,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,241.74 : 48,360.29 = 8,548.74 : x
  2. Step 2: Convert to fraction form
    32,241.74/48,360.29 = 8,548.74/x
  3. Step 3: Cross multiply
    32,241.74x = 48,360.29 × 8,548.74
  4. Step 4: Simplify right side
    32,241.74x = 413,419,502.79
  5. Step 5: Solve for x
    x = 413,419,502.79/32,241.74
  6. Step 6: Final answer
    x = 12,822.50

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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.