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Finding the Fourth Proportional to 35,986.88, 53,978.76 and 12,296.54

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Solution

The fourth proportional to 35,986.88, 53,978.76 and 12,296.54 is: 18,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986.88 : 53,978.76 = 12,296.54 : x
  2. Step 2: Convert to fraction form
    35,986.88/53,978.76 = 12,296.54/x
  3. Step 3: Cross multiply
    35,986.88x = 53,978.76 × 12,296.54
  4. Step 4: Simplify right side
    35,986.88x = 663,752,116.44
  5. Step 5: Solve for x
    x = 663,752,116.44/35,986.88
  6. Step 6: Final answer
    x = 18,444.28

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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.