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Finding the Fourth Proportional to 92,362.65, 138,523.87 and 24,893.11

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Solution

The fourth proportional to 92,362.65, 138,523.87 and 24,893.11 is: 37,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,362.65 : 138,523.87 = 24,893.11 : x
  2. Step 2: Convert to fraction form
    92,362.65/138,523.87 = 24,893.11/x
  3. Step 3: Cross multiply
    92,362.65x = 138,523.87 × 24,893.11
  4. Step 4: Simplify right side
    92,362.65x = 3,448,289,809.07
  5. Step 5: Solve for x
    x = 3,448,289,809.07/92,362.65
  6. Step 6: Final answer
    x = 37,334.25

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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.