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Finding the Fourth Proportional to 48.32, 72.51 and 19.47

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Solution

The fourth proportional to 48.32, 72.51 and 19.47 is: 29.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.32 : 72.51 = 19.47 : x
  2. Step 2: Convert to fraction form
    48.32/72.51 = 19.47/x
  3. Step 3: Cross multiply
    48.32x = 72.51 × 19.47
  4. Step 4: Simplify right side
    48.32x = 1,411.77
  5. Step 5: Solve for x
    x = 1,411.77/48.32
  6. Step 6: Final answer
    x = 29.22

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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.