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Finding the Fourth Proportional to 69,098.23, 103,669.22 and 24,724

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Solution

The fourth proportional to 69,098.23, 103,669.22 and 24,724 is: 37,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098.23 : 103,669.22 = 24,724 : x
  2. Step 2: Convert to fraction form
    69,098.23/103,669.22 = 24,724/x
  3. Step 3: Cross multiply
    69,098.23x = 103,669.22 × 24,724
  4. Step 4: Simplify right side
    69,098.23x = 2,563,117,795.28
  5. Step 5: Solve for x
    x = 2,563,117,795.28/69,098.23
  6. Step 6: Final answer
    x = 37,093.83

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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.