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Finding the Fourth Proportional to 35,612.84, 49,097.63 and 22,843.86

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Solution

The fourth proportional to 35,612.84, 49,097.63 and 22,843.86 is: 31,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612.84 : 49,097.63 = 22,843.86 : x
  2. Step 2: Convert to fraction form
    35,612.84/49,097.63 = 22,843.86/x
  3. Step 3: Cross multiply
    35,612.84x = 49,097.63 × 22,843.86
  4. Step 4: Simplify right side
    35,612.84x = 1,121,579,026.34
  5. Step 5: Solve for x
    x = 1,121,579,026.34/35,612.84
  6. Step 6: Final answer
    x = 31,493.67

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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.