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Finding the Fourth Proportional to 61,342.56, 91,970.76 and 23,871.06

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Solution

The fourth proportional to 61,342.56, 91,970.76 and 23,871.06 is: 35,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,342.56 : 91,970.76 = 23,871.06 : x
  2. Step 2: Convert to fraction form
    61,342.56/91,970.76 = 23,871.06/x
  3. Step 3: Cross multiply
    61,342.56x = 91,970.76 × 23,871.06
  4. Step 4: Simplify right side
    61,342.56x = 2,195,439,530.21
  5. Step 5: Solve for x
    x = 2,195,439,530.21/61,342.56
  6. Step 6: Final answer
    x = 35,789.83

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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.