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Finding the Fourth Proportional to 38,694.80, 53,410.16 and 25,268.14

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Solution

The fourth proportional to 38,694.80, 53,410.16 and 25,268.14 is: 34,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,694.80 : 53,410.16 = 25,268.14 : x
  2. Step 2: Convert to fraction form
    38,694.80/53,410.16 = 25,268.14/x
  3. Step 3: Cross multiply
    38,694.80x = 53,410.16 × 25,268.14
  4. Step 4: Simplify right side
    38,694.80x = 1,349,575,400.30
  5. Step 5: Solve for x
    x = 1,349,575,400.30/38,694.80
  6. Step 6: Final answer
    x = 34,877.44

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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.