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Finding the Fourth Proportional to 48,706.33, 73,060.21 and 13,643.77

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Solution

The fourth proportional to 48,706.33, 73,060.21 and 13,643.77 is: 20,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.33 : 73,060.21 = 13,643.77 : x
  2. Step 2: Convert to fraction form
    48,706.33/73,060.21 = 13,643.77/x
  3. Step 3: Cross multiply
    48,706.33x = 73,060.21 × 13,643.77
  4. Step 4: Simplify right side
    48,706.33x = 996,816,301.98
  5. Step 5: Solve for x
    x = 996,816,301.98/48,706.33
  6. Step 6: Final answer
    x = 20,465.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.