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Finding the Fourth Proportional to 55,902.68, 77,145.90 and 30,409.04

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Solution

The fourth proportional to 55,902.68, 77,145.90 and 30,409.04 is: 41,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,902.68 : 77,145.90 = 30,409.04 : x
  2. Step 2: Convert to fraction form
    55,902.68/77,145.90 = 30,409.04/x
  3. Step 3: Cross multiply
    55,902.68x = 77,145.90 × 30,409.04
  4. Step 4: Simplify right side
    55,902.68x = 2,345,932,758.94
  5. Step 5: Solve for x
    x = 2,345,932,758.94/55,902.68
  6. Step 6: Final answer
    x = 41,964.58

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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.