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Finding the Fourth Proportional to 32.19, 47.93 and 30.24

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Solution

The fourth proportional to 32.19, 47.93 and 30.24 is: 45.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.19 : 47.93 = 30.24 : x
  2. Step 2: Convert to fraction form
    32.19/47.93 = 30.24/x
  3. Step 3: Cross multiply
    32.19x = 47.93 × 30.24
  4. Step 4: Simplify right side
    32.19x = 1,449.40
  5. Step 5: Solve for x
    x = 1,449.40/32.19
  6. Step 6: Final answer
    x = 45.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.