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Finding the Fourth Proportional to 70,594.79, 105,861.09 and 33,165.50

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Solution

The fourth proportional to 70,594.79, 105,861.09 and 33,165.50 is: 49,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,594.79 : 105,861.09 = 33,165.50 : x
  2. Step 2: Convert to fraction form
    70,594.79/105,861.09 = 33,165.50/x
  3. Step 3: Cross multiply
    70,594.79x = 105,861.09 × 33,165.50
  4. Step 4: Simplify right side
    70,594.79x = 3,510,935,980.40
  5. Step 5: Solve for x
    x = 3,510,935,980.40/70,594.79
  6. Step 6: Final answer
    x = 49,733.64

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Why These Related Problems?

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