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Finding the Fourth Proportional to 49.53, 74.35 and 32.35

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Solution

The fourth proportional to 49.53, 74.35 and 32.35 is: 48.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.53 : 74.35 = 32.35 : x
  2. Step 2: Convert to fraction form
    49.53/74.35 = 32.35/x
  3. Step 3: Cross multiply
    49.53x = 74.35 × 32.35
  4. Step 4: Simplify right side
    49.53x = 2,405.22
  5. Step 5: Solve for x
    x = 2,405.22/49.53
  6. Step 6: Final answer
    x = 48.56

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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.