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Finding the Fourth Proportional to 38,662.50, 58,001.04 and 17,886

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Solution

The fourth proportional to 38,662.50, 58,001.04 and 17,886 is: 26,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.50 : 58,001.04 = 17,886 : x
  2. Step 2: Convert to fraction form
    38,662.50/58,001.04 = 17,886/x
  3. Step 3: Cross multiply
    38,662.50x = 58,001.04 × 17,886
  4. Step 4: Simplify right side
    38,662.50x = 1,037,406,601.44
  5. Step 5: Solve for x
    x = 1,037,406,601.44/38,662.50
  6. Step 6: Final answer
    x = 26,832.37

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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.