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Finding the Fourth Proportional to 57,788.31, 79,441.68 and 49,692.32

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Solution

The fourth proportional to 57,788.31, 79,441.68 and 49,692.32 is: 68,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788.31 : 79,441.68 = 49,692.32 : x
  2. Step 2: Convert to fraction form
    57,788.31/79,441.68 = 49,692.32/x
  3. Step 3: Cross multiply
    57,788.31x = 79,441.68 × 49,692.32
  4. Step 4: Simplify right side
    57,788.31x = 3,947,641,173.04
  5. Step 5: Solve for x
    x = 3,947,641,173.04/57,788.31
  6. Step 6: Final answer
    x = 68,312.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.