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Finding the Fourth Proportional to 106,535.58, 159,789.20 and 31,654.32

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Solution

The fourth proportional to 106,535.58, 159,789.20 and 31,654.32 is: 47,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,535.58 : 159,789.20 = 31,654.32 : x
  2. Step 2: Convert to fraction form
    106,535.58/159,789.20 = 31,654.32/x
  3. Step 3: Cross multiply
    106,535.58x = 159,789.20 × 31,654.32
  4. Step 4: Simplify right side
    106,535.58x = 5,058,018,469.34
  5. Step 5: Solve for x
    x = 5,058,018,469.34/106,535.58
  6. Step 6: Final answer
    x = 47,477.27

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1.5x scale

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.