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Finding the Fourth Proportional to 50,005.30, 74,907.15 and 31,227.70

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Solution

The fourth proportional to 50,005.30, 74,907.15 and 31,227.70 is: 46,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,005.30 : 74,907.15 = 31,227.70 : x
  2. Step 2: Convert to fraction form
    50,005.30/74,907.15 = 31,227.70/x
  3. Step 3: Cross multiply
    50,005.30x = 74,907.15 × 31,227.70
  4. Step 4: Simplify right side
    50,005.30x = 2,339,178,008.06
  5. Step 5: Solve for x
    x = 2,339,178,008.06/50,005.30
  6. Step 6: Final answer
    x = 46,778.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.