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Finding the Fourth Proportional to 30,902.81, 46,354.19 and 11,176.76

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Solution

The fourth proportional to 30,902.81, 46,354.19 and 11,176.76 is: 16,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.81 : 46,354.19 = 11,176.76 : x
  2. Step 2: Convert to fraction form
    30,902.81/46,354.19 = 11,176.76/x
  3. Step 3: Cross multiply
    30,902.81x = 46,354.19 × 11,176.76
  4. Step 4: Simplify right side
    30,902.81x = 518,089,716.63
  5. Step 5: Solve for x
    x = 518,089,716.63/30,902.81
  6. Step 6: Final answer
    x = 16,765.14

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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.