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Finding the Fourth Proportional to 106,029.72, 159,043.86 and 32,157.72

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Solution

The fourth proportional to 106,029.72, 159,043.86 and 32,157.72 is: 48,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029.72 : 159,043.86 = 32,157.72 : x
  2. Step 2: Convert to fraction form
    106,029.72/159,043.86 = 32,157.72/x
  3. Step 3: Cross multiply
    106,029.72x = 159,043.86 × 32,157.72
  4. Step 4: Simplify right side
    106,029.72x = 5,114,487,917.60
  5. Step 5: Solve for x
    x = 5,114,487,917.60/106,029.72
  6. Step 6: Final answer
    x = 48,236.36

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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.