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Finding the Fourth Proportional to 92,051.20, 138,075.40 and 41,414.46

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Solution

The fourth proportional to 92,051.20, 138,075.40 and 41,414.46 is: 62,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,051.20 : 138,075.40 = 41,414.46 : x
  2. Step 2: Convert to fraction form
    92,051.20/138,075.40 = 41,414.46/x
  3. Step 3: Cross multiply
    92,051.20x = 138,075.40 × 41,414.46
  4. Step 4: Simplify right side
    92,051.20x = 5,718,318,130.28
  5. Step 5: Solve for x
    x = 5,718,318,130.28/92,051.20
  6. Step 6: Final answer
    x = 62,121.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.