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Finding the Fourth Proportional to 35,671.65, 49,226.73 and 20,564.20

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Solution

The fourth proportional to 35,671.65, 49,226.73 and 20,564.20 is: 28,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671.65 : 49,226.73 = 20,564.20 : x
  2. Step 2: Convert to fraction form
    35,671.65/49,226.73 = 20,564.20/x
  3. Step 3: Cross multiply
    35,671.65x = 49,226.73 × 20,564.20
  4. Step 4: Simplify right side
    35,671.65x = 1,012,308,321.07
  5. Step 5: Solve for x
    x = 1,012,308,321.07/35,671.65
  6. Step 6: Final answer
    x = 28,378.51

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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.