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Finding the Fourth Proportional to 57,583.58, 86,354.72 and 22,054.89

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Solution

The fourth proportional to 57,583.58, 86,354.72 and 22,054.89 is: 33,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,583.58 : 86,354.72 = 22,054.89 : x
  2. Step 2: Convert to fraction form
    57,583.58/86,354.72 = 22,054.89/x
  3. Step 3: Cross multiply
    57,583.58x = 86,354.72 × 22,054.89
  4. Step 4: Simplify right side
    57,583.58x = 1,904,543,740.31
  5. Step 5: Solve for x
    x = 1,904,543,740.31/57,583.58
  6. Step 6: Final answer
    x = 33,074.42

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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.