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Finding the Fourth Proportional to 45,877.34, 68,815.87 and 12,597.44

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Solution

The fourth proportional to 45,877.34, 68,815.87 and 12,597.44 is: 18,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,877.34 : 68,815.87 = 12,597.44 : x
  2. Step 2: Convert to fraction form
    45,877.34/68,815.87 = 12,597.44/x
  3. Step 3: Cross multiply
    45,877.34x = 68,815.87 × 12,597.44
  4. Step 4: Simplify right side
    45,877.34x = 866,903,793.37
  5. Step 5: Solve for x
    x = 866,903,793.37/45,877.34
  6. Step 6: Final answer
    x = 18,896.12

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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.