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Finding the Fourth Proportional to 32,115.60, 48,174.72 and 9,928.44

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Solution

The fourth proportional to 32,115.60, 48,174.72 and 9,928.44 is: 14,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.60 : 48,174.72 = 9,928.44 : x
  2. Step 2: Convert to fraction form
    32,115.60/48,174.72 = 9,928.44/x
  3. Step 3: Cross multiply
    32,115.60x = 48,174.72 × 9,928.44
  4. Step 4: Simplify right side
    32,115.60x = 478,299,817.04
  5. Step 5: Solve for x
    x = 478,299,817.04/32,115.60
  6. Step 6: Final answer
    x = 14,893.07

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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.