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Finding the Fourth Proportional to 171,686.28, 257,524.56 and 47,027.28

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Solution

The fourth proportional to 171,686.28, 257,524.56 and 47,027.28 is: 70,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,686.28 : 257,524.56 = 47,027.28 : x
  2. Step 2: Convert to fraction form
    171,686.28/257,524.56 = 47,027.28/x
  3. Step 3: Cross multiply
    171,686.28x = 257,524.56 × 47,027.28
  4. Step 4: Simplify right side
    171,686.28x = 12,110,679,590.00
  5. Step 5: Solve for x
    x = 12,110,679,590.00/171,686.28
  6. Step 6: Final answer
    x = 70,539.59

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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.