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Finding the Fourth Proportional to 39,259, 54,177.96 and 22,492

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Solution

The fourth proportional to 39,259, 54,177.96 and 22,492 is: 31,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,259 : 54,177.96 = 22,492 : x
  2. Step 2: Convert to fraction form
    39,259/54,177.96 = 22,492/x
  3. Step 3: Cross multiply
    39,259x = 54,177.96 × 22,492
  4. Step 4: Simplify right side
    39,259x = 1,218,570,676.32
  5. Step 5: Solve for x
    x = 1,218,570,676.32/39,259
  6. Step 6: Final answer
    x = 31,039.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.