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Finding the Fourth Proportional to 30,729.96, 46,095.48 and 9,669.56

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Solution

The fourth proportional to 30,729.96, 46,095.48 and 9,669.56 is: 14,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.96 : 46,095.48 = 9,669.56 : x
  2. Step 2: Convert to fraction form
    30,729.96/46,095.48 = 9,669.56/x
  3. Step 3: Cross multiply
    30,729.96x = 46,095.48 × 9,669.56
  4. Step 4: Simplify right side
    30,729.96x = 445,723,009.59
  5. Step 5: Solve for x
    x = 445,723,009.59/30,729.96
  6. Step 6: Final answer
    x = 14,504.51

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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.