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Finding the Fourth Proportional to 29,605.02, 44,414.52 and 9,614.45

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Solution

The fourth proportional to 29,605.02, 44,414.52 and 9,614.45 is: 14,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.02 : 44,414.52 = 9,614.45 : x
  2. Step 2: Convert to fraction form
    29,605.02/44,414.52 = 9,614.45/x
  3. Step 3: Cross multiply
    29,605.02x = 44,414.52 × 9,614.45
  4. Step 4: Simplify right side
    29,605.02x = 427,021,090.24
  5. Step 5: Solve for x
    x = 427,021,090.24/29,605.02
  6. Step 6: Final answer
    x = 14,423.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.