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Finding the Fourth Proportional to 48,471, 72,706.49 and 15,193.63

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Solution

The fourth proportional to 48,471, 72,706.49 and 15,193.63 is: 22,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471 : 72,706.49 = 15,193.63 : x
  2. Step 2: Convert to fraction form
    48,471/72,706.49 = 15,193.63/x
  3. Step 3: Cross multiply
    48,471x = 72,706.49 × 15,193.63
  4. Step 4: Simplify right side
    48,471x = 1,104,675,507.66
  5. Step 5: Solve for x
    x = 1,104,675,507.66/48,471
  6. Step 6: Final answer
    x = 22,790.44

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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.