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Finding the Fourth Proportional to 70,485.16, 105,668.50 and 33,025.48

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Solution

The fourth proportional to 70,485.16, 105,668.50 and 33,025.48 is: 49,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485.16 : 105,668.50 = 33,025.48 : x
  2. Step 2: Convert to fraction form
    70,485.16/105,668.50 = 33,025.48/x
  3. Step 3: Cross multiply
    70,485.16x = 105,668.50 × 33,025.48
  4. Step 4: Simplify right side
    70,485.16x = 3,489,752,933.38
  5. Step 5: Solve for x
    x = 3,489,752,933.38/70,485.16
  6. Step 6: Final answer
    x = 49,510.46

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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.