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Finding the Fourth Proportional to 32,578.18, 48,877.64 and 14,563.64

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Solution

The fourth proportional to 32,578.18, 48,877.64 and 14,563.64 is: 21,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.18 : 48,877.64 = 14,563.64 : x
  2. Step 2: Convert to fraction form
    32,578.18/48,877.64 = 14,563.64/x
  3. Step 3: Cross multiply
    32,578.18x = 48,877.64 × 14,563.64
  4. Step 4: Simplify right side
    32,578.18x = 711,836,353.01
  5. Step 5: Solve for x
    x = 711,836,353.01/32,578.18
  6. Step 6: Final answer
    x = 21,850.10

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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.