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Finding the Fourth Proportional to 35,769.92, 53,604.80 and 30,477.44

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Solution

The fourth proportional to 35,769.92, 53,604.80 and 30,477.44 is: 45,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,769.92 : 53,604.80 = 30,477.44 : x
  2. Step 2: Convert to fraction form
    35,769.92/53,604.80 = 30,477.44/x
  3. Step 3: Cross multiply
    35,769.92x = 53,604.80 × 30,477.44
  4. Step 4: Simplify right side
    35,769.92x = 1,633,737,075.71
  5. Step 5: Solve for x
    x = 1,633,737,075.71/35,769.92
  6. Step 6: Final answer
    x = 45,673.49

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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.