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Finding the Fourth Proportional to 35,902.42, 53,853.66 and 17,178.06

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Solution

The fourth proportional to 35,902.42, 53,853.66 and 17,178.06 is: 25,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.42 : 53,853.66 = 17,178.06 : x
  2. Step 2: Convert to fraction form
    35,902.42/53,853.66 = 17,178.06/x
  3. Step 3: Cross multiply
    35,902.42x = 53,853.66 × 17,178.06
  4. Step 4: Simplify right side
    35,902.42x = 925,101,402.70
  5. Step 5: Solve for x
    x = 925,101,402.70/35,902.42
  6. Step 6: Final answer
    x = 25,767.10

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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.