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Finding the Fourth Proportional to 70,519.05, 105,782.10 and 23,129.94

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Solution

The fourth proportional to 70,519.05, 105,782.10 and 23,129.94 is: 34,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,519.05 : 105,782.10 = 23,129.94 : x
  2. Step 2: Convert to fraction form
    70,519.05/105,782.10 = 23,129.94/x
  3. Step 3: Cross multiply
    70,519.05x = 105,782.10 × 23,129.94
  4. Step 4: Simplify right side
    70,519.05x = 2,446,733,626.07
  5. Step 5: Solve for x
    x = 2,446,733,626.07/70,519.05
  6. Step 6: Final answer
    x = 34,696.07

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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.