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Finding the Fourth Proportional to 33,657.10, 50,485.64 and 9,033.10

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Solution

The fourth proportional to 33,657.10, 50,485.64 and 9,033.10 is: 13,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,657.10 : 50,485.64 = 9,033.10 : x
  2. Step 2: Convert to fraction form
    33,657.10/50,485.64 = 9,033.10/x
  3. Step 3: Cross multiply
    33,657.10x = 50,485.64 × 9,033.10
  4. Step 4: Simplify right side
    33,657.10x = 456,041,582.26
  5. Step 5: Solve for x
    x = 456,041,582.26/33,657.10
  6. Step 6: Final answer
    x = 13,549.64

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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.