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Finding the Fourth Proportional to 32,686.40, 49,054.32 and 23,944.08

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Solution

The fourth proportional to 32,686.40, 49,054.32 and 23,944.08 is: 35,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.40 : 49,054.32 = 23,944.08 : x
  2. Step 2: Convert to fraction form
    32,686.40/49,054.32 = 23,944.08/x
  3. Step 3: Cross multiply
    32,686.40x = 49,054.32 × 23,944.08
  4. Step 4: Simplify right side
    32,686.40x = 1,174,560,562.43
  5. Step 5: Solve for x
    x = 1,174,560,562.43/32,686.40
  6. Step 6: Final answer
    x = 35,934.23

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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.