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Finding the Fourth Proportional to 42,616.09, 63,946.04 and 32,684.63

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Solution

The fourth proportional to 42,616.09, 63,946.04 and 32,684.63 is: 49,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,616.09 : 63,946.04 = 32,684.63 : x
  2. Step 2: Convert to fraction form
    42,616.09/63,946.04 = 32,684.63/x
  3. Step 3: Cross multiply
    42,616.09x = 63,946.04 × 32,684.63
  4. Step 4: Simplify right side
    42,616.09x = 2,090,052,493.94
  5. Step 5: Solve for x
    x = 2,090,052,493.94/42,616.09
  6. Step 6: Final answer
    x = 49,043.75

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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.