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Finding the Fourth Proportional to 35,774.84, 49,359.30 and 22,359.76

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Solution

The fourth proportional to 35,774.84, 49,359.30 and 22,359.76 is: 30,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774.84 : 49,359.30 = 22,359.76 : x
  2. Step 2: Convert to fraction form
    35,774.84/49,359.30 = 22,359.76/x
  3. Step 3: Cross multiply
    35,774.84x = 49,359.30 × 22,359.76
  4. Step 4: Simplify right side
    35,774.84x = 1,103,662,101.77
  5. Step 5: Solve for x
    x = 1,103,662,101.77/35,774.84
  6. Step 6: Final answer
    x = 30,850.23

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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.