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Finding the Fourth Proportional to 30,900.53, 46,354.40 and 11,188.37

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Solution

The fourth proportional to 30,900.53, 46,354.40 and 11,188.37 is: 16,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.53 : 46,354.40 = 11,188.37 : x
  2. Step 2: Convert to fraction form
    30,900.53/46,354.40 = 11,188.37/x
  3. Step 3: Cross multiply
    30,900.53x = 46,354.40 × 11,188.37
  4. Step 4: Simplify right side
    30,900.53x = 518,630,178.33
  5. Step 5: Solve for x
    x = 518,630,178.33/30,900.53
  6. Step 6: Final answer
    x = 16,783.86

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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.