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Finding the Fourth Proportional to 30,501.11, 45,750.32 and 8,314.49

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Solution

The fourth proportional to 30,501.11, 45,750.32 and 8,314.49 is: 12,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501.11 : 45,750.32 = 8,314.49 : x
  2. Step 2: Convert to fraction form
    30,501.11/45,750.32 = 8,314.49/x
  3. Step 3: Cross multiply
    30,501.11x = 45,750.32 × 8,314.49
  4. Step 4: Simplify right side
    30,501.11x = 380,390,682.12
  5. Step 5: Solve for x
    x = 380,390,682.12/30,501.11
  6. Step 6: Final answer
    x = 12,471.37

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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.