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Finding the Fourth Proportional to 46.88, 70.17 and 32.39

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Solution

The fourth proportional to 46.88, 70.17 and 32.39 is: 48.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.88 : 70.17 = 32.39 : x
  2. Step 2: Convert to fraction form
    46.88/70.17 = 32.39/x
  3. Step 3: Cross multiply
    46.88x = 70.17 × 32.39
  4. Step 4: Simplify right side
    46.88x = 2,272.81
  5. Step 5: Solve for x
    x = 2,272.81/46.88
  6. Step 6: Final answer
    x = 48.48

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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.