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Finding the Fourth Proportional to 32,548, 48,793.04 and 11,766.88

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Solution

The fourth proportional to 32,548, 48,793.04 and 11,766.88 is: 17,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548 : 48,793.04 = 11,766.88 : x
  2. Step 2: Convert to fraction form
    32,548/48,793.04 = 11,766.88/x
  3. Step 3: Cross multiply
    32,548x = 48,793.04 × 11,766.88
  4. Step 4: Simplify right side
    32,548x = 574,141,846.52
  5. Step 5: Solve for x
    x = 574,141,846.52/32,548
  6. Step 6: Final answer
    x = 17,639.85

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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.