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Finding the Fourth Proportional to 73,905.84, 110,781.36 and 34,430.40

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Solution

The fourth proportional to 73,905.84, 110,781.36 and 34,430.40 is: 51,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,905.84 : 110,781.36 = 34,430.40 : x
  2. Step 2: Convert to fraction form
    73,905.84/110,781.36 = 34,430.40/x
  3. Step 3: Cross multiply
    73,905.84x = 110,781.36 × 34,430.40
  4. Step 4: Simplify right side
    73,905.84x = 3,814,246,537.34
  5. Step 5: Solve for x
    x = 3,814,246,537.34/73,905.84
  6. Step 6: Final answer
    x = 51,609.54

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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.