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Finding the Fourth Proportional to 61,784.31, 92,683.67 and 22,359.99

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Solution

The fourth proportional to 61,784.31, 92,683.67 and 22,359.99 is: 33,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784.31 : 92,683.67 = 22,359.99 : x
  2. Step 2: Convert to fraction form
    61,784.31/92,683.67 = 22,359.99/x
  3. Step 3: Cross multiply
    61,784.31x = 92,683.67 × 22,359.99
  4. Step 4: Simplify right side
    61,784.31x = 2,072,405,822.56
  5. Step 5: Solve for x
    x = 2,072,405,822.56/61,784.31
  6. Step 6: Final answer
    x = 33,542.59

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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.