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Finding the Fourth Proportional to 35,882.78, 53,810.30 and 17,157.82

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Solution

The fourth proportional to 35,882.78, 53,810.30 and 17,157.82 is: 25,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.78 : 53,810.30 = 17,157.82 : x
  2. Step 2: Convert to fraction form
    35,882.78/53,810.30 = 17,157.82/x
  3. Step 3: Cross multiply
    35,882.78x = 53,810.30 × 17,157.82
  4. Step 4: Simplify right side
    35,882.78x = 923,267,441.55
  5. Step 5: Solve for x
    x = 923,267,441.55/35,882.78
  6. Step 6: Final answer
    x = 25,730.10

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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.