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Finding the Fourth Proportional to 69,123.08, 103,662.70 and 22,365

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Solution

The fourth proportional to 69,123.08, 103,662.70 and 22,365 is: 33,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,123.08 : 103,662.70 = 22,365 : x
  2. Step 2: Convert to fraction form
    69,123.08/103,662.70 = 22,365/x
  3. Step 3: Cross multiply
    69,123.08x = 103,662.70 × 22,365
  4. Step 4: Simplify right side
    69,123.08x = 2,318,416,285.50
  5. Step 5: Solve for x
    x = 2,318,416,285.50/69,123.08
  6. Step 6: Final answer
    x = 33,540.41

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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.