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Finding the Fourth Proportional to 38,947.10, 53,747.04 and 21,042.14

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Solution

The fourth proportional to 38,947.10, 53,747.04 and 21,042.14 is: 29,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,947.10 : 53,747.04 = 21,042.14 : x
  2. Step 2: Convert to fraction form
    38,947.10/53,747.04 = 21,042.14/x
  3. Step 3: Cross multiply
    38,947.10x = 53,747.04 × 21,042.14
  4. Step 4: Simplify right side
    38,947.10x = 1,130,952,740.27
  5. Step 5: Solve for x
    x = 1,130,952,740.27/38,947.10
  6. Step 6: Final answer
    x = 29,038.18

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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.