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Finding the Fourth Proportional to 32,200.36, 48,303.61 and 10,007.76

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Solution

The fourth proportional to 32,200.36, 48,303.61 and 10,007.76 is: 15,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.36 : 48,303.61 = 10,007.76 : x
  2. Step 2: Convert to fraction form
    32,200.36/48,303.61 = 10,007.76/x
  3. Step 3: Cross multiply
    32,200.36x = 48,303.61 × 10,007.76
  4. Step 4: Simplify right side
    32,200.36x = 483,410,936.01
  5. Step 5: Solve for x
    x = 483,410,936.01/32,200.36
  6. Step 6: Final answer
    x = 15,012.59

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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.