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Finding the Fourth Proportional to 35.49, 52.98 and 32.46

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Solution

The fourth proportional to 35.49, 52.98 and 32.46 is: 48.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.49 : 52.98 = 32.46 : x
  2. Step 2: Convert to fraction form
    35.49/52.98 = 32.46/x
  3. Step 3: Cross multiply
    35.49x = 52.98 × 32.46
  4. Step 4: Simplify right side
    35.49x = 1,719.73
  5. Step 5: Solve for x
    x = 1,719.73/35.49
  6. Step 6: Final answer
    x = 48.46

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Why These Related Problems?

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