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Finding the Fourth Proportional to 29,583, 44,352.63 and 9,849.78

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Solution

The fourth proportional to 29,583, 44,352.63 and 9,849.78 is: 14,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,583 : 44,352.63 = 9,849.78 : x
  2. Step 2: Convert to fraction form
    29,583/44,352.63 = 9,849.78/x
  3. Step 3: Cross multiply
    29,583x = 44,352.63 × 9,849.78
  4. Step 4: Simplify right side
    29,583x = 436,863,647.92
  5. Step 5: Solve for x
    x = 436,863,647.92/29,583
  6. Step 6: Final answer
    x = 14,767.39

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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.