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Finding the Fourth Proportional to 32,552.46, 48,836.07 and 11,775.96

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Solution

The fourth proportional to 32,552.46, 48,836.07 and 11,775.96 is: 17,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,552.46 : 48,836.07 = 11,775.96 : x
  2. Step 2: Convert to fraction form
    32,552.46/48,836.07 = 11,775.96/x
  3. Step 3: Cross multiply
    32,552.46x = 48,836.07 × 11,775.96
  4. Step 4: Simplify right side
    32,552.46x = 575,091,606.88
  5. Step 5: Solve for x
    x = 575,091,606.88/32,552.46
  6. Step 6: Final answer
    x = 17,666.61

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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.