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Finding the Fourth Proportional to 39,097.37, 53,960.13 and 24,758.51

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Solution

The fourth proportional to 39,097.37, 53,960.13 and 24,758.51 is: 34,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.37 : 53,960.13 = 24,758.51 : x
  2. Step 2: Convert to fraction form
    39,097.37/53,960.13 = 24,758.51/x
  3. Step 3: Cross multiply
    39,097.37x = 53,960.13 × 24,758.51
  4. Step 4: Simplify right side
    39,097.37x = 1,335,972,148.41
  5. Step 5: Solve for x
    x = 1,335,972,148.41/39,097.37
  6. Step 6: Final answer
    x = 34,170.39

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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.