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Finding the Fourth Proportional to 38,549.42, 53,207.10 and 25,097.26

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Solution

The fourth proportional to 38,549.42, 53,207.10 and 25,097.26 is: 34,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,549.42 : 53,207.10 = 25,097.26 : x
  2. Step 2: Convert to fraction form
    38,549.42/53,207.10 = 25,097.26/x
  3. Step 3: Cross multiply
    38,549.42x = 53,207.10 × 25,097.26
  4. Step 4: Simplify right side
    38,549.42x = 1,335,352,422.55
  5. Step 5: Solve for x
    x = 1,335,352,422.55/38,549.42
  6. Step 6: Final answer
    x = 34,640.01

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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.