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Finding the Fourth Proportional to 32,092.86, 48,143.85 and 9,902.10

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Solution

The fourth proportional to 32,092.86, 48,143.85 and 9,902.10 is: 14,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.86 : 48,143.85 = 9,902.10 : x
  2. Step 2: Convert to fraction form
    32,092.86/48,143.85 = 9,902.10/x
  3. Step 3: Cross multiply
    32,092.86x = 48,143.85 × 9,902.10
  4. Step 4: Simplify right side
    32,092.86x = 476,725,217.09
  5. Step 5: Solve for x
    x = 476,725,217.09/32,092.86
  6. Step 6: Final answer
    x = 14,854.56

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1.5x scale

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.