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Finding the Fourth Proportional to 32,578.41, 48,867.48 and 9,204.78

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Solution

The fourth proportional to 32,578.41, 48,867.48 and 9,204.78 is: 13,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.41 : 48,867.48 = 9,204.78 : x
  2. Step 2: Convert to fraction form
    32,578.41/48,867.48 = 9,204.78/x
  3. Step 3: Cross multiply
    32,578.41x = 48,867.48 × 9,204.78
  4. Step 4: Simplify right side
    32,578.41x = 449,814,402.55
  5. Step 5: Solve for x
    x = 449,814,402.55/32,578.41
  6. Step 6: Final answer
    x = 13,807.13

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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.