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Finding the Fourth Proportional to 49,075.70, 67,724.79 and 27,855.32

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Solution

The fourth proportional to 49,075.70, 67,724.79 and 27,855.32 is: 38,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,075.70 : 67,724.79 = 27,855.32 : x
  2. Step 2: Convert to fraction form
    49,075.70/67,724.79 = 27,855.32/x
  3. Step 3: Cross multiply
    49,075.70x = 67,724.79 × 27,855.32
  4. Step 4: Simplify right side
    49,075.70x = 1,886,495,697.38
  5. Step 5: Solve for x
    x = 1,886,495,697.38/49,075.70
  6. Step 6: Final answer
    x = 38,440.53

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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.