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Finding the Fourth Proportional to 30,970.02, 46,455.22 and 7,596.44

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Solution

The fourth proportional to 30,970.02, 46,455.22 and 7,596.44 is: 11,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.02 : 46,455.22 = 7,596.44 : x
  2. Step 2: Convert to fraction form
    30,970.02/46,455.22 = 7,596.44/x
  3. Step 3: Cross multiply
    30,970.02x = 46,455.22 × 7,596.44
  4. Step 4: Simplify right side
    30,970.02x = 352,894,291.42
  5. Step 5: Solve for x
    x = 352,894,291.42/30,970.02
  6. Step 6: Final answer
    x = 11,394.71

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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.