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Finding the Fourth Proportional to 49,405.60, 74,075.60 and 27,229.60

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Solution

The fourth proportional to 49,405.60, 74,075.60 and 27,229.60 is: 40,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,405.60 : 74,075.60 = 27,229.60 : x
  2. Step 2: Convert to fraction form
    49,405.60/74,075.60 = 27,229.60/x
  3. Step 3: Cross multiply
    49,405.60x = 74,075.60 × 27,229.60
  4. Step 4: Simplify right side
    49,405.60x = 2,017,048,957.76
  5. Step 5: Solve for x
    x = 2,017,048,957.76/49,405.60
  6. Step 6: Final answer
    x = 40,826.32

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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.