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Finding the Fourth Proportional to 49.09, 73.64 and 32.00

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Solution

The fourth proportional to 49.09, 73.64 and 32.00 is: 48.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.09 : 73.64 = 32.00 : x
  2. Step 2: Convert to fraction form
    49.09/73.64 = 32.00/x
  3. Step 3: Cross multiply
    49.09x = 73.64 × 32.00
  4. Step 4: Simplify right side
    49.09x = 2,355.95
  5. Step 5: Solve for x
    x = 2,355.95/49.09
  6. Step 6: Final answer
    x = 48.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.