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Finding the Fourth Proportional to 35,775.32, 49,370.13 and 22,354.37

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Solution

The fourth proportional to 35,775.32, 49,370.13 and 22,354.37 is: 30,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.32 : 49,370.13 = 22,354.37 : x
  2. Step 2: Convert to fraction form
    35,775.32/49,370.13 = 22,354.37/x
  3. Step 3: Cross multiply
    35,775.32x = 49,370.13 × 22,354.37
  4. Step 4: Simplify right side
    35,775.32x = 1,103,637,906.12
  5. Step 5: Solve for x
    x = 1,103,637,906.12/35,775.32
  6. Step 6: Final answer
    x = 30,849.15

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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.