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Finding the Fourth Proportional to 70,046.68, 105,087.32 and 23,299.96

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Solution

The fourth proportional to 70,046.68, 105,087.32 and 23,299.96 is: 34,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,046.68 : 105,087.32 = 23,299.96 : x
  2. Step 2: Convert to fraction form
    70,046.68/105,087.32 = 23,299.96/x
  3. Step 3: Cross multiply
    70,046.68x = 105,087.32 × 23,299.96
  4. Step 4: Simplify right side
    70,046.68x = 2,448,530,352.51
  5. Step 5: Solve for x
    x = 2,448,530,352.51/70,046.68
  6. Step 6: Final answer
    x = 34,955.69

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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.