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Finding the Fourth Proportional to 35,765.36, 49,353.90 and 22,335.82

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Solution

The fourth proportional to 35,765.36, 49,353.90 and 22,335.82 is: 30,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765.36 : 49,353.90 = 22,335.82 : x
  2. Step 2: Convert to fraction form
    35,765.36/49,353.90 = 22,335.82/x
  3. Step 3: Cross multiply
    35,765.36x = 49,353.90 × 22,335.82
  4. Step 4: Simplify right side
    35,765.36x = 1,102,359,826.70
  5. Step 5: Solve for x
    x = 1,102,359,826.70/35,765.36
  6. Step 6: Final answer
    x = 30,822.00

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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.