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Finding the Fourth Proportional to 50,582.82, 75,908.06 and 21,000.66

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Solution

The fourth proportional to 50,582.82, 75,908.06 and 21,000.66 is: 31,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582.82 : 75,908.06 = 21,000.66 : x
  2. Step 2: Convert to fraction form
    50,582.82/75,908.06 = 21,000.66/x
  3. Step 3: Cross multiply
    50,582.82x = 75,908.06 × 21,000.66
  4. Step 4: Simplify right side
    50,582.82x = 1,594,119,359.32
  5. Step 5: Solve for x
    x = 1,594,119,359.32/50,582.82
  6. Step 6: Final answer
    x = 31,515.04

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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.