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Finding the Fourth Proportional to 51,412.84, 77,088.12 and 33,622.02

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Solution

The fourth proportional to 51,412.84, 77,088.12 and 33,622.02 is: 50,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412.84 : 77,088.12 = 33,622.02 : x
  2. Step 2: Convert to fraction form
    51,412.84/77,088.12 = 33,622.02/x
  3. Step 3: Cross multiply
    51,412.84x = 77,088.12 × 33,622.02
  4. Step 4: Simplify right side
    51,412.84x = 2,591,858,312.40
  5. Step 5: Solve for x
    x = 2,591,858,312.40/51,412.84
  6. Step 6: Final answer
    x = 50,412.67

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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.