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Finding the Fourth Proportional to 58,473, 80,692.74 and 31,977

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Solution

The fourth proportional to 58,473, 80,692.74 and 31,977 is: 44,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,473 : 80,692.74 = 31,977 : x
  2. Step 2: Convert to fraction form
    58,473/80,692.74 = 31,977/x
  3. Step 3: Cross multiply
    58,473x = 80,692.74 × 31,977
  4. Step 4: Simplify right side
    58,473x = 2,580,311,746.98
  5. Step 5: Solve for x
    x = 2,580,311,746.98/58,473
  6. Step 6: Final answer
    x = 44,128.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.