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Finding the Fourth Proportional to 32,670.86, 49,006.31 and 9,297.29

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Solution

The fourth proportional to 32,670.86, 49,006.31 and 9,297.29 is: 13,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,670.86 : 49,006.31 = 9,297.29 : x
  2. Step 2: Convert to fraction form
    32,670.86/49,006.31 = 9,297.29/x
  3. Step 3: Cross multiply
    32,670.86x = 49,006.31 × 9,297.29
  4. Step 4: Simplify right side
    32,670.86x = 455,625,951.93
  5. Step 5: Solve for x
    x = 455,625,951.93/32,670.86
  6. Step 6: Final answer
    x = 13,945.95

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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.