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Finding the Fourth Proportional to 70,277.18, 105,450.41 and 32,839.84

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Solution

The fourth proportional to 70,277.18, 105,450.41 and 32,839.84 is: 49,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,277.18 : 105,450.41 = 32,839.84 : x
  2. Step 2: Convert to fraction form
    70,277.18/105,450.41 = 32,839.84/x
  3. Step 3: Cross multiply
    70,277.18x = 105,450.41 × 32,839.84
  4. Step 4: Simplify right side
    70,277.18x = 3,462,973,900.88
  5. Step 5: Solve for x
    x = 3,462,973,900.88/70,277.18
  6. Step 6: Final answer
    x = 49,275.94

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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.