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Finding the Fourth Proportional to 37,020.36, 51,088.50 and 20,253

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Solution

The fourth proportional to 37,020.36, 51,088.50 and 20,253 is: 27,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,020.36 : 51,088.50 = 20,253 : x
  2. Step 2: Convert to fraction form
    37,020.36/51,088.50 = 20,253/x
  3. Step 3: Cross multiply
    37,020.36x = 51,088.50 × 20,253
  4. Step 4: Simplify right side
    37,020.36x = 1,034,695,390.50
  5. Step 5: Solve for x
    x = 1,034,695,390.50/37,020.36
  6. Step 6: Final answer
    x = 27,949.36

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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.