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Finding the Fourth Proportional to 32,479.56, 48,719.28 and 7,855.56

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Solution

The fourth proportional to 32,479.56, 48,719.28 and 7,855.56 is: 11,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,479.56 : 48,719.28 = 7,855.56 : x
  2. Step 2: Convert to fraction form
    32,479.56/48,719.28 = 7,855.56/x
  3. Step 3: Cross multiply
    32,479.56x = 48,719.28 × 7,855.56
  4. Step 4: Simplify right side
    32,479.56x = 382,717,227.20
  5. Step 5: Solve for x
    x = 382,717,227.20/32,479.56
  6. Step 6: Final answer
    x = 11,783.33

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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.