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Finding the Fourth Proportional to 70,549.94, 105,859.51 and 33,113.06

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Solution

The fourth proportional to 70,549.94, 105,859.51 and 33,113.06 is: 49,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,549.94 : 105,859.51 = 33,113.06 : x
  2. Step 2: Convert to fraction form
    70,549.94/105,859.51 = 33,113.06/x
  3. Step 3: Cross multiply
    70,549.94x = 105,859.51 × 33,113.06
  4. Step 4: Simplify right side
    70,549.94x = 3,505,332,091.09
  5. Step 5: Solve for x
    x = 3,505,332,091.09/70,549.94
  6. Step 6: Final answer
    x = 49,685.82

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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.