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Finding the Fourth Proportional to 29,605, 44,429.42 and 14,022.67

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Solution

The fourth proportional to 29,605, 44,429.42 and 14,022.67 is: 21,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605 : 44,429.42 = 14,022.67 : x
  2. Step 2: Convert to fraction form
    29,605/44,429.42 = 14,022.67/x
  3. Step 3: Cross multiply
    29,605x = 44,429.42 × 14,022.67
  4. Step 4: Simplify right side
    29,605x = 623,019,094.95
  5. Step 5: Solve for x
    x = 623,019,094.95/29,605
  6. Step 6: Final answer
    x = 21,044.39

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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.