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Finding the Fourth Proportional to 76,149.17, 105,081.99 and 41,692.98

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Solution

The fourth proportional to 76,149.17, 105,081.99 and 41,692.98 is: 57,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149.17 : 105,081.99 = 41,692.98 : x
  2. Step 2: Convert to fraction form
    76,149.17/105,081.99 = 41,692.98/x
  3. Step 3: Cross multiply
    76,149.17x = 105,081.99 × 41,692.98
  4. Step 4: Simplify right side
    76,149.17x = 4,381,181,307.43
  5. Step 5: Solve for x
    x = 4,381,181,307.43/76,149.17
  6. Step 6: Final answer
    x = 57,534.20

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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.