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Finding the Fourth Proportional to 35,406.25, 53,072.18 and 17,839.24

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Solution

The fourth proportional to 35,406.25, 53,072.18 and 17,839.24 is: 26,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,406.25 : 53,072.18 = 17,839.24 : x
  2. Step 2: Convert to fraction form
    35,406.25/53,072.18 = 17,839.24/x
  3. Step 3: Cross multiply
    35,406.25x = 53,072.18 × 17,839.24
  4. Step 4: Simplify right side
    35,406.25x = 946,767,201.36
  5. Step 5: Solve for x
    x = 946,767,201.36/35,406.25
  6. Step 6: Final answer
    x = 26,740.12

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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.