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Finding the Fourth Proportional to 42,814.44, 59,081.83 and 23,693.88

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Solution

The fourth proportional to 42,814.44, 59,081.83 and 23,693.88 is: 32,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,814.44 : 59,081.83 = 23,693.88 : x
  2. Step 2: Convert to fraction form
    42,814.44/59,081.83 = 23,693.88/x
  3. Step 3: Cross multiply
    42,814.44x = 59,081.83 × 23,693.88
  4. Step 4: Simplify right side
    42,814.44x = 1,399,877,790.20
  5. Step 5: Solve for x
    x = 1,399,877,790.20/42,814.44
  6. Step 6: Final answer
    x = 32,696.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.