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Finding the Fourth Proportional to 38,283.74, 52,833.32 and 21,289.70

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Solution

The fourth proportional to 38,283.74, 52,833.32 and 21,289.70 is: 29,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.74 : 52,833.32 = 21,289.70 : x
  2. Step 2: Convert to fraction form
    38,283.74/52,833.32 = 21,289.70/x
  3. Step 3: Cross multiply
    38,283.74x = 52,833.32 × 21,289.70
  4. Step 4: Simplify right side
    38,283.74x = 1,124,805,162.19
  5. Step 5: Solve for x
    x = 1,124,805,162.19/38,283.74
  6. Step 6: Final answer
    x = 29,380.76

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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.