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Finding the Fourth Proportional to 37,102.76, 55,654.12 and 9,022.63

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Solution

The fourth proportional to 37,102.76, 55,654.12 and 9,022.63 is: 13,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.76 : 55,654.12 = 9,022.63 : x
  2. Step 2: Convert to fraction form
    37,102.76/55,654.12 = 9,022.63/x
  3. Step 3: Cross multiply
    37,102.76x = 55,654.12 × 9,022.63
  4. Step 4: Simplify right side
    37,102.76x = 502,146,371.04
  5. Step 5: Solve for x
    x = 502,146,371.04/37,102.76
  6. Step 6: Final answer
    x = 13,533.93

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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.