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Finding the Fourth Proportional to 174,044.96, 261,067.64 and 47,686.30

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Solution

The fourth proportional to 174,044.96, 261,067.64 and 47,686.30 is: 71,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,044.96 : 261,067.64 = 47,686.30 : x
  2. Step 2: Convert to fraction form
    174,044.96/261,067.64 = 47,686.30/x
  3. Step 3: Cross multiply
    174,044.96x = 261,067.64 × 47,686.30
  4. Step 4: Simplify right side
    174,044.96x = 12,449,349,801.33
  5. Step 5: Solve for x
    x = 12,449,349,801.33/174,044.96
  6. Step 6: Final answer
    x = 71,529.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.