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Finding the Fourth Proportional to 32,969.64, 49,460.94 and 12,193.32

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Solution

The fourth proportional to 32,969.64, 49,460.94 and 12,193.32 is: 18,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.64 : 49,460.94 = 12,193.32 : x
  2. Step 2: Convert to fraction form
    32,969.64/49,460.94 = 12,193.32/x
  3. Step 3: Cross multiply
    32,969.64x = 49,460.94 × 12,193.32
  4. Step 4: Simplify right side
    32,969.64x = 603,093,068.92
  5. Step 5: Solve for x
    x = 603,093,068.92/32,969.64
  6. Step 6: Final answer
    x = 18,292.38

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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.