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Finding the Fourth Proportional to 84,069.81, 126,041.94 and 50,782.32

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Solution

The fourth proportional to 84,069.81, 126,041.94 and 50,782.32 is: 76,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,069.81 : 126,041.94 = 50,782.32 : x
  2. Step 2: Convert to fraction form
    84,069.81/126,041.94 = 50,782.32/x
  3. Step 3: Cross multiply
    84,069.81x = 126,041.94 × 50,782.32
  4. Step 4: Simplify right side
    84,069.81x = 6,400,702,130.50
  5. Step 5: Solve for x
    x = 6,400,702,130.50/84,069.81
  6. Step 6: Final answer
    x = 76,135.56

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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.