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Finding the Fourth Proportional to 50,647.78, 75,984.88 and 28,477.54

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Solution

The fourth proportional to 50,647.78, 75,984.88 and 28,477.54 is: 42,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,647.78 : 75,984.88 = 28,477.54 : x
  2. Step 2: Convert to fraction form
    50,647.78/75,984.88 = 28,477.54/x
  3. Step 3: Cross multiply
    50,647.78x = 75,984.88 × 28,477.54
  4. Step 4: Simplify right side
    50,647.78x = 2,163,862,459.60
  5. Step 5: Solve for x
    x = 2,163,862,459.60/50,647.78
  6. Step 6: Final answer
    x = 42,723.74

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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.