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Finding the Fourth Proportional to 29,408.51, 44,087.97 and 12,756

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Solution

The fourth proportional to 29,408.51, 44,087.97 and 12,756 is: 19,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408.51 : 44,087.97 = 12,756 : x
  2. Step 2: Convert to fraction form
    29,408.51/44,087.97 = 12,756/x
  3. Step 3: Cross multiply
    29,408.51x = 44,087.97 × 12,756
  4. Step 4: Simplify right side
    29,408.51x = 562,386,145.32
  5. Step 5: Solve for x
    x = 562,386,145.32/29,408.51
  6. Step 6: Final answer
    x = 19,123.25

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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.