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Finding the Fourth Proportional to 37,098.51, 51,196.08 and 20,102.77

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Solution

The fourth proportional to 37,098.51, 51,196.08 and 20,102.77 is: 27,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.51 : 51,196.08 = 20,102.77 : x
  2. Step 2: Convert to fraction form
    37,098.51/51,196.08 = 20,102.77/x
  3. Step 3: Cross multiply
    37,098.51x = 51,196.08 × 20,102.77
  4. Step 4: Simplify right side
    37,098.51x = 1,029,183,021.14
  5. Step 5: Solve for x
    x = 1,029,183,021.14/37,098.51
  6. Step 6: Final answer
    x = 27,741.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.