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Finding the Fourth Proportional to 43,699.50, 60,305.31 and 23,827.50

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Solution

The fourth proportional to 43,699.50, 60,305.31 and 23,827.50 is: 32,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,699.50 : 60,305.31 = 23,827.50 : x
  2. Step 2: Convert to fraction form
    43,699.50/60,305.31 = 23,827.50/x
  3. Step 3: Cross multiply
    43,699.50x = 60,305.31 × 23,827.50
  4. Step 4: Simplify right side
    43,699.50x = 1,436,924,774.03
  5. Step 5: Solve for x
    x = 1,436,924,774.03/43,699.50
  6. Step 6: Final answer
    x = 32,881.95

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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.