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Finding the Fourth Proportional to 29,804.62, 44,713.41 and 9,029.74

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Solution

The fourth proportional to 29,804.62, 44,713.41 and 9,029.74 is: 13,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804.62 : 44,713.41 = 9,029.74 : x
  2. Step 2: Convert to fraction form
    29,804.62/44,713.41 = 9,029.74/x
  3. Step 3: Cross multiply
    29,804.62x = 44,713.41 × 9,029.74
  4. Step 4: Simplify right side
    29,804.62x = 403,750,466.81
  5. Step 5: Solve for x
    x = 403,750,466.81/29,804.62
  6. Step 6: Final answer
    x = 13,546.57

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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.