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Finding the Fourth Proportional to 32,369.83, 48,543 and 11,303.97

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Solution

The fourth proportional to 32,369.83, 48,543 and 11,303.97 is: 16,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,369.83 : 48,543 = 11,303.97 : x
  2. Step 2: Convert to fraction form
    32,369.83/48,543 = 11,303.97/x
  3. Step 3: Cross multiply
    32,369.83x = 48,543 × 11,303.97
  4. Step 4: Simplify right side
    32,369.83x = 548,728,615.71
  5. Step 5: Solve for x
    x = 548,728,615.71/32,369.83
  6. Step 6: Final answer
    x = 16,951.85

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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.