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Finding the Fourth Proportional to 70,033.44, 105,051.07 and 23,286.32

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Solution

The fourth proportional to 70,033.44, 105,051.07 and 23,286.32 is: 34,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,033.44 : 105,051.07 = 23,286.32 : x
  2. Step 2: Convert to fraction form
    70,033.44/105,051.07 = 23,286.32/x
  3. Step 3: Cross multiply
    70,033.44x = 105,051.07 × 23,286.32
  4. Step 4: Simplify right side
    70,033.44x = 2,446,252,307.11
  5. Step 5: Solve for x
    x = 2,446,252,307.11/70,033.44
  6. Step 6: Final answer
    x = 34,929.78

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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.