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Finding the Fourth Proportional to 59,223, 81,727.74 and 32,727

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Solution

The fourth proportional to 59,223, 81,727.74 and 32,727 is: 45,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,223 : 81,727.74 = 32,727 : x
  2. Step 2: Convert to fraction form
    59,223/81,727.74 = 32,727/x
  3. Step 3: Cross multiply
    59,223x = 81,727.74 × 32,727
  4. Step 4: Simplify right side
    59,223x = 2,674,703,746.98
  5. Step 5: Solve for x
    x = 2,674,703,746.98/59,223
  6. Step 6: Final answer
    x = 45,163.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.