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Finding the Fourth Proportional to 19,550, 29,329.86 and 5,699

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Solution

The fourth proportional to 19,550, 29,329.86 and 5,699 is: 8,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,550 : 29,329.86 = 5,699 : x
  2. Step 2: Convert to fraction form
    19,550/29,329.86 = 5,699/x
  3. Step 3: Cross multiply
    19,550x = 29,329.86 × 5,699
  4. Step 4: Simplify right side
    19,550x = 167,150,872.14
  5. Step 5: Solve for x
    x = 167,150,872.14/19,550
  6. Step 6: Final answer
    x = 8,549.92

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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.