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Finding the Fourth Proportional to 29,381.50, 44,072.25 and 8,605.18

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Solution

The fourth proportional to 29,381.50, 44,072.25 and 8,605.18 is: 12,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381.50 : 44,072.25 = 8,605.18 : x
  2. Step 2: Convert to fraction form
    29,381.50/44,072.25 = 8,605.18/x
  3. Step 3: Cross multiply
    29,381.50x = 44,072.25 × 8,605.18
  4. Step 4: Simplify right side
    29,381.50x = 379,249,644.26
  5. Step 5: Solve for x
    x = 379,249,644.26/29,381.50
  6. Step 6: Final answer
    x = 12,907.77

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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.