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Finding the Fourth Proportional to 98,384.97, 135,770.63 and 55,943.50

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Solution

The fourth proportional to 98,384.97, 135,770.63 and 55,943.50 is: 77,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,384.97 : 135,770.63 = 55,943.50 : x
  2. Step 2: Convert to fraction form
    98,384.97/135,770.63 = 55,943.50/x
  3. Step 3: Cross multiply
    98,384.97x = 135,770.63 × 55,943.50
  4. Step 4: Simplify right side
    98,384.97x = 7,595,483,959.69
  5. Step 5: Solve for x
    x = 7,595,483,959.69/98,384.97
  6. Step 6: Final answer
    x = 77,201.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.