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Finding the Fourth Proportional to 35,986.62, 53,978.40 and 12,296.29

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Solution

The fourth proportional to 35,986.62, 53,978.40 and 12,296.29 is: 18,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986.62 : 53,978.40 = 12,296.29 : x
  2. Step 2: Convert to fraction form
    35,986.62/53,978.40 = 12,296.29/x
  3. Step 3: Cross multiply
    35,986.62x = 53,978.40 × 12,296.29
  4. Step 4: Simplify right side
    35,986.62x = 663,734,060.14
  5. Step 5: Solve for x
    x = 663,734,060.14/35,986.62
  6. Step 6: Final answer
    x = 18,443.91

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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.