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Finding the Fourth Proportional to 32,203.44, 48,303.48 and 10,015.20

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Solution

The fourth proportional to 32,203.44, 48,303.48 and 10,015.20 is: 15,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.44 : 48,303.48 = 10,015.20 : x
  2. Step 2: Convert to fraction form
    32,203.44/48,303.48 = 10,015.20/x
  3. Step 3: Cross multiply
    32,203.44x = 48,303.48 × 10,015.20
  4. Step 4: Simplify right side
    32,203.44x = 483,769,012.90
  5. Step 5: Solve for x
    x = 483,769,012.90/32,203.44
  6. Step 6: Final answer
    x = 15,022.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.