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Finding the Fourth Proportional to 32,095.38, 48,145.50 and 8,722.02

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Solution

The fourth proportional to 32,095.38, 48,145.50 and 8,722.02 is: 13,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.38 : 48,145.50 = 8,722.02 : x
  2. Step 2: Convert to fraction form
    32,095.38/48,145.50 = 8,722.02/x
  3. Step 3: Cross multiply
    32,095.38x = 48,145.50 × 8,722.02
  4. Step 4: Simplify right side
    32,095.38x = 419,926,013.91
  5. Step 5: Solve for x
    x = 419,926,013.91/32,095.38
  6. Step 6: Final answer
    x = 13,083.69

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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.