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Finding the Fourth Proportional to 84,409.27, 126,576.98 and 40,048.68

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Solution

The fourth proportional to 84,409.27, 126,576.98 and 40,048.68 is: 60,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,409.27 : 126,576.98 = 40,048.68 : x
  2. Step 2: Convert to fraction form
    84,409.27/126,576.98 = 40,048.68/x
  3. Step 3: Cross multiply
    84,409.27x = 126,576.98 × 40,048.68
  4. Step 4: Simplify right side
    84,409.27x = 5,069,240,967.39
  5. Step 5: Solve for x
    x = 5,069,240,967.39/84,409.27
  6. Step 6: Final answer
    x = 60,055.50

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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.