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Finding the Fourth Proportional to 32,153.28, 48,223.44 and 12,434.64

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Solution

The fourth proportional to 32,153.28, 48,223.44 and 12,434.64 is: 18,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.28 : 48,223.44 = 12,434.64 : x
  2. Step 2: Convert to fraction form
    32,153.28/48,223.44 = 12,434.64/x
  3. Step 3: Cross multiply
    32,153.28x = 48,223.44 × 12,434.64
  4. Step 4: Simplify right side
    32,153.28x = 599,641,115.96
  5. Step 5: Solve for x
    x = 599,641,115.96/32,153.28
  6. Step 6: Final answer
    x = 18,649.45

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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.