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Finding the Fourth Proportional to 37,269.12, 51,431.28 and 20,502

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Solution

The fourth proportional to 37,269.12, 51,431.28 and 20,502 is: 28,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,269.12 : 51,431.28 = 20,502 : x
  2. Step 2: Convert to fraction form
    37,269.12/51,431.28 = 20,502/x
  3. Step 3: Cross multiply
    37,269.12x = 51,431.28 × 20,502
  4. Step 4: Simplify right side
    37,269.12x = 1,054,444,102.56
  5. Step 5: Solve for x
    x = 1,054,444,102.56/37,269.12
  6. Step 6: Final answer
    x = 28,292.70

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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.