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Finding the Fourth Proportional to 30,586.84, 45,827.12 and 16,556.54

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Solution

The fourth proportional to 30,586.84, 45,827.12 and 16,556.54 is: 24,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.84 : 45,827.12 = 16,556.54 : x
  2. Step 2: Convert to fraction form
    30,586.84/45,827.12 = 16,556.54/x
  3. Step 3: Cross multiply
    30,586.84x = 45,827.12 × 16,556.54
  4. Step 4: Simplify right side
    30,586.84x = 758,738,545.36
  5. Step 5: Solve for x
    x = 758,738,545.36/30,586.84
  6. Step 6: Final answer
    x = 24,806.05

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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.