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Finding the Fourth Proportional to 34,343.84, 51,496 and 18,313.60

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Solution

The fourth proportional to 34,343.84, 51,496 and 18,313.60 is: 27,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,343.84 : 51,496 = 18,313.60 : x
  2. Step 2: Convert to fraction form
    34,343.84/51,496 = 18,313.60/x
  3. Step 3: Cross multiply
    34,343.84x = 51,496 × 18,313.60
  4. Step 4: Simplify right side
    34,343.84x = 943,077,145.60
  5. Step 5: Solve for x
    x = 943,077,145.60/34,343.84
  6. Step 6: Final answer
    x = 27,459.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.