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Finding the Fourth Proportional to 38,947.76, 53,747.82 and 21,042.71

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Solution

The fourth proportional to 38,947.76, 53,747.82 and 21,042.71 is: 29,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,947.76 : 53,747.82 = 21,042.71 : x
  2. Step 2: Convert to fraction form
    38,947.76/53,747.82 = 21,042.71/x
  3. Step 3: Cross multiply
    38,947.76x = 53,747.82 × 21,042.71
  4. Step 4: Simplify right side
    38,947.76x = 1,130,999,520.65
  5. Step 5: Solve for x
    x = 1,130,999,520.65/38,947.76
  6. Step 6: Final answer
    x = 29,038.89

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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.