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Finding the Fourth Proportional to 31,478.68, 43,488.32 and 23,507.16

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Solution

The fourth proportional to 31,478.68, 43,488.32 and 23,507.16 is: 32,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.68 : 43,488.32 = 23,507.16 : x
  2. Step 2: Convert to fraction form
    31,478.68/43,488.32 = 23,507.16/x
  3. Step 3: Cross multiply
    31,478.68x = 43,488.32 × 23,507.16
  4. Step 4: Simplify right side
    31,478.68x = 1,022,286,896.37
  5. Step 5: Solve for x
    x = 1,022,286,896.37/31,478.68
  6. Step 6: Final answer
    x = 32,475.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.