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Finding the Fourth Proportional to 35,842.32, 49,401.42 and 24,492.11

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Solution

The fourth proportional to 35,842.32, 49,401.42 and 24,492.11 is: 33,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.32 : 49,401.42 = 24,492.11 : x
  2. Step 2: Convert to fraction form
    35,842.32/49,401.42 = 24,492.11/x
  3. Step 3: Cross multiply
    35,842.32x = 49,401.42 × 24,492.11
  4. Step 4: Simplify right side
    35,842.32x = 1,209,944,765.79
  5. Step 5: Solve for x
    x = 1,209,944,765.79/35,842.32
  6. Step 6: Final answer
    x = 33,757.43

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