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Finding the Fourth Proportional to 35,902.94, 53,854.44 and 17,178.56

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Solution

The fourth proportional to 35,902.94, 53,854.44 and 17,178.56 is: 25,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.94 : 53,854.44 = 17,178.56 : x
  2. Step 2: Convert to fraction form
    35,902.94/53,854.44 = 17,178.56/x
  3. Step 3: Cross multiply
    35,902.94x = 53,854.44 × 17,178.56
  4. Step 4: Simplify right side
    35,902.94x = 925,141,728.81
  5. Step 5: Solve for x
    x = 925,141,728.81/35,902.94
  6. Step 6: Final answer
    x = 25,767.85

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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.