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Finding the Fourth Proportional to 57,573, 86,359.50 and 24,741

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Solution

The fourth proportional to 57,573, 86,359.50 and 24,741 is: 37,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,573 : 86,359.50 = 24,741 : x
  2. Step 2: Convert to fraction form
    57,573/86,359.50 = 24,741/x
  3. Step 3: Cross multiply
    57,573x = 86,359.50 × 24,741
  4. Step 4: Simplify right side
    57,573x = 2,136,620,389.50
  5. Step 5: Solve for x
    x = 2,136,620,389.50/57,573
  6. Step 6: Final answer
    x = 37,111.50

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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.