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Finding the Fourth Proportional to 70,533.12, 105,845.76 and 33,600

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Solution

The fourth proportional to 70,533.12, 105,845.76 and 33,600 is: 50,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,533.12 : 105,845.76 = 33,600 : x
  2. Step 2: Convert to fraction form
    70,533.12/105,845.76 = 33,600/x
  3. Step 3: Cross multiply
    70,533.12x = 105,845.76 × 33,600
  4. Step 4: Simplify right side
    70,533.12x = 3,556,417,536
  5. Step 5: Solve for x
    x = 3,556,417,536/70,533.12
  6. Step 6: Final answer
    x = 50,421.95

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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.