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Finding the Fourth Proportional to 38,194.08, 57,292.08 and 10,492

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Solution

The fourth proportional to 38,194.08, 57,292.08 and 10,492 is: 15,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194.08 : 57,292.08 = 10,492 : x
  2. Step 2: Convert to fraction form
    38,194.08/57,292.08 = 10,492/x
  3. Step 3: Cross multiply
    38,194.08x = 57,292.08 × 10,492
  4. Step 4: Simplify right side
    38,194.08x = 601,108,503.36
  5. Step 5: Solve for x
    x = 601,108,503.36/38,194.08
  6. Step 6: Final answer
    x = 15,738.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.