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Finding the Fourth Proportional to 37,102.36, 55,653.04 and 9,022.32

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Solution

The fourth proportional to 37,102.36, 55,653.04 and 9,022.32 is: 13,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.36 : 55,653.04 = 9,022.32 : x
  2. Step 2: Convert to fraction form
    37,102.36/55,653.04 = 9,022.32/x
  3. Step 3: Cross multiply
    37,102.36x = 55,653.04 × 9,022.32
  4. Step 4: Simplify right side
    37,102.36x = 502,119,535.85
  5. Step 5: Solve for x
    x = 502,119,535.85/37,102.36
  6. Step 6: Final answer
    x = 13,533.36

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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.