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Finding the Fourth Proportional to 37,102.63, 55,653.93 and 9,022.51

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Solution

The fourth proportional to 37,102.63, 55,653.93 and 9,022.51 is: 13,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.63 : 55,653.93 = 9,022.51 : x
  2. Step 2: Convert to fraction form
    37,102.63/55,653.93 = 9,022.51/x
  3. Step 3: Cross multiply
    37,102.63x = 55,653.93 × 9,022.51
  4. Step 4: Simplify right side
    37,102.63x = 502,138,139.96
  5. Step 5: Solve for x
    x = 502,138,139.96/37,102.63
  6. Step 6: Final answer
    x = 13,533.76

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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.