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Finding the Fourth Proportional to 74,436.93, 111,589.74 and 27,657

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Solution

The fourth proportional to 74,436.93, 111,589.74 and 27,657 is: 41,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,436.93 : 111,589.74 = 27,657 : x
  2. Step 2: Convert to fraction form
    74,436.93/111,589.74 = 27,657/x
  3. Step 3: Cross multiply
    74,436.93x = 111,589.74 × 27,657
  4. Step 4: Simplify right side
    74,436.93x = 3,086,237,439.18
  5. Step 5: Solve for x
    x = 3,086,237,439.18/74,436.93
  6. Step 6: Final answer
    x = 41,461.11

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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.