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Finding the Fourth Proportional to 49,293.98, 68,025.70 and 28,075.22

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Solution

The fourth proportional to 49,293.98, 68,025.70 and 28,075.22 is: 38,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,293.98 : 68,025.70 = 28,075.22 : x
  2. Step 2: Convert to fraction form
    49,293.98/68,025.70 = 28,075.22/x
  3. Step 3: Cross multiply
    49,293.98x = 68,025.70 × 28,075.22
  4. Step 4: Simplify right side
    49,293.98x = 1,909,836,746.90
  5. Step 5: Solve for x
    x = 1,909,836,746.90/49,293.98
  6. Step 6: Final answer
    x = 38,743.81

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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.