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Finding the Fourth Proportional to 32,100.38, 48,153.44 and 8,407.88

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Solution

The fourth proportional to 32,100.38, 48,153.44 and 8,407.88 is: 12,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100.38 : 48,153.44 = 8,407.88 : x
  2. Step 2: Convert to fraction form
    32,100.38/48,153.44 = 8,407.88/x
  3. Step 3: Cross multiply
    32,100.38x = 48,153.44 × 8,407.88
  4. Step 4: Simplify right side
    32,100.38x = 404,868,345.11
  5. Step 5: Solve for x
    x = 404,868,345.11/32,100.38
  6. Step 6: Final answer
    x = 12,612.57

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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.