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Finding the Fourth Proportional to 51,096.90, 70,515.09 and 30,949.50

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Solution

The fourth proportional to 51,096.90, 70,515.09 and 30,949.50 is: 42,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,096.90 : 70,515.09 = 30,949.50 : x
  2. Step 2: Convert to fraction form
    51,096.90/70,515.09 = 30,949.50/x
  3. Step 3: Cross multiply
    51,096.90x = 70,515.09 × 30,949.50
  4. Step 4: Simplify right side
    51,096.90x = 2,182,406,777.96
  5. Step 5: Solve for x
    x = 2,182,406,777.96/51,096.90
  6. Step 6: Final answer
    x = 42,711.14

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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.