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Finding the Fourth Proportional to 32,923.68, 49,445.01 and 30,286.32

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Solution

The fourth proportional to 32,923.68, 49,445.01 and 30,286.32 is: 45,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,923.68 : 49,445.01 = 30,286.32 : x
  2. Step 2: Convert to fraction form
    32,923.68/49,445.01 = 30,286.32/x
  3. Step 3: Cross multiply
    32,923.68x = 49,445.01 × 30,286.32
  4. Step 4: Simplify right side
    32,923.68x = 1,497,507,395.26
  5. Step 5: Solve for x
    x = 1,497,507,395.26/32,923.68
  6. Step 6: Final answer
    x = 45,484.20

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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.