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Finding the Fourth Proportional to 32,519.40, 48,782.36 and 8,827.32

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Solution

The fourth proportional to 32,519.40, 48,782.36 and 8,827.32 is: 13,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519.40 : 48,782.36 = 8,827.32 : x
  2. Step 2: Convert to fraction form
    32,519.40/48,782.36 = 8,827.32/x
  3. Step 3: Cross multiply
    32,519.40x = 48,782.36 × 8,827.32
  4. Step 4: Simplify right side
    32,519.40x = 430,617,376.49
  5. Step 5: Solve for x
    x = 430,617,376.49/32,519.40
  6. Step 6: Final answer
    x = 13,241.86

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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.