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Finding the Fourth Proportional to 38,456.40, 53,060.76 and 21,686.16

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Solution

The fourth proportional to 38,456.40, 53,060.76 and 21,686.16 is: 29,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.40 : 53,060.76 = 21,686.16 : x
  2. Step 2: Convert to fraction form
    38,456.40/53,060.76 = 21,686.16/x
  3. Step 3: Cross multiply
    38,456.40x = 53,060.76 × 21,686.16
  4. Step 4: Simplify right side
    38,456.40x = 1,150,684,131.08
  5. Step 5: Solve for x
    x = 1,150,684,131.08/38,456.40
  6. Step 6: Final answer
    x = 29,921.78

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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.