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Finding the Fourth Proportional to 30,882.34, 46,324.32 and 9,822.52

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Solution

The fourth proportional to 30,882.34, 46,324.32 and 9,822.52 is: 14,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.34 : 46,324.32 = 9,822.52 : x
  2. Step 2: Convert to fraction form
    30,882.34/46,324.32 = 9,822.52/x
  3. Step 3: Cross multiply
    30,882.34x = 46,324.32 × 9,822.52
  4. Step 4: Simplify right side
    30,882.34x = 455,021,559.69
  5. Step 5: Solve for x
    x = 455,021,559.69/30,882.34
  6. Step 6: Final answer
    x = 14,734.04

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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.