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Finding the Fourth Proportional to 38,852.20, 53,615.46 and 21,855.16

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Solution

The fourth proportional to 38,852.20, 53,615.46 and 21,855.16 is: 30,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,852.20 : 53,615.46 = 21,855.16 : x
  2. Step 2: Convert to fraction form
    38,852.20/53,615.46 = 21,855.16/x
  3. Step 3: Cross multiply
    38,852.20x = 53,615.46 × 21,855.16
  4. Step 4: Simplify right side
    38,852.20x = 1,171,774,456.77
  5. Step 5: Solve for x
    x = 1,171,774,456.77/38,852.20
  6. Step 6: Final answer
    x = 30,159.80

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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.