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Finding the Fourth Proportional to 29,379, 44,068.50 and 7,491

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Solution

The fourth proportional to 29,379, 44,068.50 and 7,491 is: 11,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,379 : 44,068.50 = 7,491 : x
  2. Step 2: Convert to fraction form
    29,379/44,068.50 = 7,491/x
  3. Step 3: Cross multiply
    29,379x = 44,068.50 × 7,491
  4. Step 4: Simplify right side
    29,379x = 330,117,133.50
  5. Step 5: Solve for x
    x = 330,117,133.50/29,379
  6. Step 6: Final answer
    x = 11,236.50

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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.