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Finding the Fourth Proportional to 30,881.82, 46,322.73 and 12,409.50

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Solution

The fourth proportional to 30,881.82, 46,322.73 and 12,409.50 is: 18,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.82 : 46,322.73 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    30,881.82/46,322.73 = 12,409.50/x
  3. Step 3: Cross multiply
    30,881.82x = 46,322.73 × 12,409.50
  4. Step 4: Simplify right side
    30,881.82x = 574,841,917.94
  5. Step 5: Solve for x
    x = 574,841,917.94/30,881.82
  6. Step 6: Final answer
    x = 18,614.25

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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.