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Finding the Fourth Proportional to 32,128.87, 48,195.74 and 9,944.49

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Solution

The fourth proportional to 32,128.87, 48,195.74 and 9,944.49 is: 14,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,128.87 : 48,195.74 = 9,944.49 : x
  2. Step 2: Convert to fraction form
    32,128.87/48,195.74 = 9,944.49/x
  3. Step 3: Cross multiply
    32,128.87x = 48,195.74 × 9,944.49
  4. Step 4: Simplify right side
    32,128.87x = 479,282,054.47
  5. Step 5: Solve for x
    x = 479,282,054.47/32,128.87
  6. Step 6: Final answer
    x = 14,917.49

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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.