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Finding the Fourth Proportional to 38,004.81, 57,007.35 and 22,411.50

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Solution

The fourth proportional to 38,004.81, 57,007.35 and 22,411.50 is: 33,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.81 : 57,007.35 = 22,411.50 : x
  2. Step 2: Convert to fraction form
    38,004.81/57,007.35 = 22,411.50/x
  3. Step 3: Cross multiply
    38,004.81x = 57,007.35 × 22,411.50
  4. Step 4: Simplify right side
    38,004.81x = 1,277,620,224.53
  5. Step 5: Solve for x
    x = 1,277,620,224.53/38,004.81
  6. Step 6: Final answer
    x = 33,617.33

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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.