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Finding the Fourth Proportional to 32,007.81, 48,021.99 and 13,296.81

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Solution

The fourth proportional to 32,007.81, 48,021.99 and 13,296.81 is: 19,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.81 : 48,021.99 = 13,296.81 : x
  2. Step 2: Convert to fraction form
    32,007.81/48,021.99 = 13,296.81/x
  3. Step 3: Cross multiply
    32,007.81x = 48,021.99 × 13,296.81
  4. Step 4: Simplify right side
    32,007.81x = 638,539,276.85
  5. Step 5: Solve for x
    x = 638,539,276.85/32,007.81
  6. Step 6: Final answer
    x = 19,949.48

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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.