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Finding the Fourth Proportional to 32,977.50, 45,511.83 and 18,076.38

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Solution

The fourth proportional to 32,977.50, 45,511.83 and 18,076.38 is: 24,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.50 : 45,511.83 = 18,076.38 : x
  2. Step 2: Convert to fraction form
    32,977.50/45,511.83 = 18,076.38/x
  3. Step 3: Cross multiply
    32,977.50x = 45,511.83 × 18,076.38
  4. Step 4: Simplify right side
    32,977.50x = 822,689,133.58
  5. Step 5: Solve for x
    x = 822,689,133.58/32,977.50
  6. Step 6: Final answer
    x = 24,946.98

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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.