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Finding the Fourth Proportional to 32,499.77, 48,735.07 and 10,309.01

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Solution

The fourth proportional to 32,499.77, 48,735.07 and 10,309.01 is: 15,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,499.77 : 48,735.07 = 10,309.01 : x
  2. Step 2: Convert to fraction form
    32,499.77/48,735.07 = 10,309.01/x
  3. Step 3: Cross multiply
    32,499.77x = 48,735.07 × 10,309.01
  4. Step 4: Simplify right side
    32,499.77x = 502,410,054.53
  5. Step 5: Solve for x
    x = 502,410,054.53/32,499.77
  6. Step 6: Final answer
    x = 15,458.88

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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.