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Finding the Fourth Proportional to 38,698.77, 53,411.97 and 25,103.66

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Solution

The fourth proportional to 38,698.77, 53,411.97 and 25,103.66 is: 34,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,698.77 : 53,411.97 = 25,103.66 : x
  2. Step 2: Convert to fraction form
    38,698.77/53,411.97 = 25,103.66/x
  3. Step 3: Cross multiply
    38,698.77x = 53,411.97 × 25,103.66
  4. Step 4: Simplify right side
    38,698.77x = 1,340,835,667.75
  5. Step 5: Solve for x
    x = 1,340,835,667.75/38,698.77
  6. Step 6: Final answer
    x = 34,648.02

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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.