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Finding the Fourth Proportional to 69,123.78, 103,684.96 and 31,673.22

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Solution

The fourth proportional to 69,123.78, 103,684.96 and 31,673.22 is: 47,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,123.78 : 103,684.96 = 31,673.22 : x
  2. Step 2: Convert to fraction form
    69,123.78/103,684.96 = 31,673.22/x
  3. Step 3: Cross multiply
    69,123.78x = 103,684.96 × 31,673.22
  4. Step 4: Simplify right side
    69,123.78x = 3,284,036,548.77
  5. Step 5: Solve for x
    x = 3,284,036,548.77/69,123.78
  6. Step 6: Final answer
    x = 47,509.50

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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.