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Finding the Fourth Proportional to 92,006.64, 138,023.10 and 32,829.84

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Solution

The fourth proportional to 92,006.64, 138,023.10 and 32,829.84 is: 49,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,006.64 : 138,023.10 = 32,829.84 : x
  2. Step 2: Convert to fraction form
    92,006.64/138,023.10 = 32,829.84/x
  3. Step 3: Cross multiply
    92,006.64x = 138,023.10 × 32,829.84
  4. Step 4: Simplify right side
    92,006.64x = 4,531,276,289.30
  5. Step 5: Solve for x
    x = 4,531,276,289.30/92,006.64
  6. Step 6: Final answer
    x = 49,249.45

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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.