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Finding the Fourth Proportional to 30,861.47, 46,021.21 and 30,580.81

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Solution

The fourth proportional to 30,861.47, 46,021.21 and 30,580.81 is: 45,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.47 : 46,021.21 = 30,580.81 : x
  2. Step 2: Convert to fraction form
    30,861.47/46,021.21 = 30,580.81/x
  3. Step 3: Cross multiply
    30,861.47x = 46,021.21 × 30,580.81
  4. Step 4: Simplify right side
    30,861.47x = 1,407,365,687.48
  5. Step 5: Solve for x
    x = 1,407,365,687.48/30,861.47
  6. Step 6: Final answer
    x = 45,602.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.