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Finding the Fourth Proportional to 38,485.80, 53,097.84 and 21,487.14

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Solution

The fourth proportional to 38,485.80, 53,097.84 and 21,487.14 is: 29,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.80 : 53,097.84 = 21,487.14 : x
  2. Step 2: Convert to fraction form
    38,485.80/53,097.84 = 21,487.14/x
  3. Step 3: Cross multiply
    38,485.80x = 53,097.84 × 21,487.14
  4. Step 4: Simplify right side
    38,485.80x = 1,140,920,721.78
  5. Step 5: Solve for x
    x = 1,140,920,721.78/38,485.80
  6. Step 6: Final answer
    x = 29,645.24

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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.