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Finding the Fourth Proportional to 49,777.44, 74,646.72 and 22,056

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Solution

The fourth proportional to 49,777.44, 74,646.72 and 22,056 is: 33,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,777.44 : 74,646.72 = 22,056 : x
  2. Step 2: Convert to fraction form
    49,777.44/74,646.72 = 22,056/x
  3. Step 3: Cross multiply
    49,777.44x = 74,646.72 × 22,056
  4. Step 4: Simplify right side
    49,777.44x = 1,646,408,056.32
  5. Step 5: Solve for x
    x = 1,646,408,056.32/49,777.44
  6. Step 6: Final answer
    x = 33,075.39

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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.