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Finding the Fourth Proportional to 35,983.56, 53,978.94 and 11,023.32

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Solution

The fourth proportional to 35,983.56, 53,978.94 and 11,023.32 is: 16,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983.56 : 53,978.94 = 11,023.32 : x
  2. Step 2: Convert to fraction form
    35,983.56/53,978.94 = 11,023.32/x
  3. Step 3: Cross multiply
    35,983.56x = 53,978.94 × 11,023.32
  4. Step 4: Simplify right side
    35,983.56x = 595,027,128.88
  5. Step 5: Solve for x
    x = 595,027,128.88/35,983.56
  6. Step 6: Final answer
    x = 16,536.08

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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.