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Finding the Fourth Proportional to 92,224.56, 138,334.41 and 25,662

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Solution

The fourth proportional to 92,224.56, 138,334.41 and 25,662 is: 38,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,224.56 : 138,334.41 = 25,662 : x
  2. Step 2: Convert to fraction form
    92,224.56/138,334.41 = 25,662/x
  3. Step 3: Cross multiply
    92,224.56x = 138,334.41 × 25,662
  4. Step 4: Simplify right side
    92,224.56x = 3,549,937,629.42
  5. Step 5: Solve for x
    x = 3,549,937,629.42/92,224.56
  6. Step 6: Final answer
    x = 38,492.32

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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.