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Finding the Fourth Proportional to 33,740.41, 46,224.15 and 32,478.77

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Solution

The fourth proportional to 33,740.41, 46,224.15 and 32,478.77 is: 44,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,740.41 : 46,224.15 = 32,478.77 : x
  2. Step 2: Convert to fraction form
    33,740.41/46,224.15 = 32,478.77/x
  3. Step 3: Cross multiply
    33,740.41x = 46,224.15 × 32,478.77
  4. Step 4: Simplify right side
    33,740.41x = 1,501,303,142.78
  5. Step 5: Solve for x
    x = 1,501,303,142.78/33,740.41
  6. Step 6: Final answer
    x = 44,495.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.