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Finding the Fourth Proportional to 35,942.40, 53,924.40 and 25,574.40

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Solution

The fourth proportional to 35,942.40, 53,924.40 and 25,574.40 is: 38,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,942.40 : 53,924.40 = 25,574.40 : x
  2. Step 2: Convert to fraction form
    35,942.40/53,924.40 = 25,574.40/x
  3. Step 3: Cross multiply
    35,942.40x = 53,924.40 × 25,574.40
  4. Step 4: Simplify right side
    35,942.40x = 1,379,084,175.36
  5. Step 5: Solve for x
    x = 1,379,084,175.36/35,942.40
  6. Step 6: Final answer
    x = 38,369.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.