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Finding the Fourth Proportional to 38,667.50, 53,361.28 and 22,544.40

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Solution

The fourth proportional to 38,667.50, 53,361.28 and 22,544.40 is: 31,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,667.50 : 53,361.28 = 22,544.40 : x
  2. Step 2: Convert to fraction form
    38,667.50/53,361.28 = 22,544.40/x
  3. Step 3: Cross multiply
    38,667.50x = 53,361.28 × 22,544.40
  4. Step 4: Simplify right side
    38,667.50x = 1,202,998,040.83
  5. Step 5: Solve for x
    x = 1,202,998,040.83/38,667.50
  6. Step 6: Final answer
    x = 31,111.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.