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Finding the Fourth Proportional to 73,102.82, 109,664.26 and 25,707.06

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Solution

The fourth proportional to 73,102.82, 109,664.26 and 25,707.06 is: 38,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102.82 : 109,664.26 = 25,707.06 : x
  2. Step 2: Convert to fraction form
    73,102.82/109,664.26 = 25,707.06/x
  3. Step 3: Cross multiply
    73,102.82x = 109,664.26 × 25,707.06
  4. Step 4: Simplify right side
    73,102.82x = 2,819,145,647.41
  5. Step 5: Solve for x
    x = 2,819,145,647.41/73,102.82
  6. Step 6: Final answer
    x = 38,564.12

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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.