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Finding the Fourth Proportional to 70,536.54, 105,810.96 and 23,137.41

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Solution

The fourth proportional to 70,536.54, 105,810.96 and 23,137.41 is: 34,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,536.54 : 105,810.96 = 23,137.41 : x
  2. Step 2: Convert to fraction form
    70,536.54/105,810.96 = 23,137.41/x
  3. Step 3: Cross multiply
    70,536.54x = 105,810.96 × 23,137.41
  4. Step 4: Simplify right side
    70,536.54x = 2,448,191,960.80
  5. Step 5: Solve for x
    x = 2,448,191,960.80/70,536.54
  6. Step 6: Final answer
    x = 34,708.14

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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.