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Finding the Fourth Proportional to 69,720.34, 96,214.68 and 37,889.24

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Solution

The fourth proportional to 69,720.34, 96,214.68 and 37,889.24 is: 52,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,720.34 : 96,214.68 = 37,889.24 : x
  2. Step 2: Convert to fraction form
    69,720.34/96,214.68 = 37,889.24/x
  3. Step 3: Cross multiply
    69,720.34x = 96,214.68 × 37,889.24
  4. Step 4: Simplify right side
    69,720.34x = 3,645,501,102.04
  5. Step 5: Solve for x
    x = 3,645,501,102.04/69,720.34
  6. Step 6: Final answer
    x = 52,287.48

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