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Finding the Fourth Proportional to 51,427.56, 70,967.78 and 30,209

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Solution

The fourth proportional to 51,427.56, 70,967.78 and 30,209 is: 41,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,427.56 : 70,967.78 = 30,209 : x
  2. Step 2: Convert to fraction form
    51,427.56/70,967.78 = 30,209/x
  3. Step 3: Cross multiply
    51,427.56x = 70,967.78 × 30,209
  4. Step 4: Simplify right side
    51,427.56x = 2,143,865,666.02
  5. Step 5: Solve for x
    x = 2,143,865,666.02/51,427.56
  6. Step 6: Final answer
    x = 41,687.10

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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.