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Finding the Fourth Proportional to 30,756.66, 46,097.60 and 16,683.30

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Solution

The fourth proportional to 30,756.66, 46,097.60 and 16,683.30 is: 25,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.66 : 46,097.60 = 16,683.30 : x
  2. Step 2: Convert to fraction form
    30,756.66/46,097.60 = 16,683.30/x
  3. Step 3: Cross multiply
    30,756.66x = 46,097.60 × 16,683.30
  4. Step 4: Simplify right side
    30,756.66x = 769,060,090.08
  5. Step 5: Solve for x
    x = 769,060,090.08/30,756.66
  6. Step 6: Final answer
    x = 25,004.67

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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.