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Finding the Fourth Proportional to 38,303.66, 52,859.32 and 22,384.94

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Solution

The fourth proportional to 38,303.66, 52,859.32 and 22,384.94 is: 30,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,303.66 : 52,859.32 = 22,384.94 : x
  2. Step 2: Convert to fraction form
    38,303.66/52,859.32 = 22,384.94/x
  3. Step 3: Cross multiply
    38,303.66x = 52,859.32 × 22,384.94
  4. Step 4: Simplify right side
    38,303.66x = 1,183,252,706.64
  5. Step 5: Solve for x
    x = 1,183,252,706.64/38,303.66
  6. Step 6: Final answer
    x = 30,891.37

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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.