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Finding the Fourth Proportional to 34,558.64, 51,863.16 and 13,788.08

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Solution

The fourth proportional to 34,558.64, 51,863.16 and 13,788.08 is: 20,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,558.64 : 51,863.16 = 13,788.08 : x
  2. Step 2: Convert to fraction form
    34,558.64/51,863.16 = 13,788.08/x
  3. Step 3: Cross multiply
    34,558.64x = 51,863.16 × 13,788.08
  4. Step 4: Simplify right side
    34,558.64x = 715,093,399.13
  5. Step 5: Solve for x
    x = 715,093,399.13/34,558.64
  6. Step 6: Final answer
    x = 20,692.17

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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.