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Finding the Fourth Proportional to 92,268.21, 138,353.10 and 47,784.63

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Solution

The fourth proportional to 92,268.21, 138,353.10 and 47,784.63 is: 71,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,268.21 : 138,353.10 = 47,784.63 : x
  2. Step 2: Convert to fraction form
    92,268.21/138,353.10 = 47,784.63/x
  3. Step 3: Cross multiply
    92,268.21x = 138,353.10 × 47,784.63
  4. Step 4: Simplify right side
    92,268.21x = 6,611,151,466.43
  5. Step 5: Solve for x
    x = 6,611,151,466.43/92,268.21
  6. Step 6: Final answer
    x = 71,651.46

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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.