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Finding the Fourth Proportional to 30,940.74, 46,402.60 and 15,137.64

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Solution

The fourth proportional to 30,940.74, 46,402.60 and 15,137.64 is: 22,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.74 : 46,402.60 = 15,137.64 : x
  2. Step 2: Convert to fraction form
    30,940.74/46,402.60 = 15,137.64/x
  3. Step 3: Cross multiply
    30,940.74x = 46,402.60 × 15,137.64
  4. Step 4: Simplify right side
    30,940.74x = 702,425,853.86
  5. Step 5: Solve for x
    x = 702,425,853.86/30,940.74
  6. Step 6: Final answer
    x = 22,702.30

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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.