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Finding the Fourth Proportional to 60,330, 83,255.48 and 35,184.36

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Solution

The fourth proportional to 60,330, 83,255.48 and 35,184.36 is: 48,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,330 : 83,255.48 = 35,184.36 : x
  2. Step 2: Convert to fraction form
    60,330/83,255.48 = 35,184.36/x
  3. Step 3: Cross multiply
    60,330x = 83,255.48 × 35,184.36
  4. Step 4: Simplify right side
    60,330x = 2,929,290,604.37
  5. Step 5: Solve for x
    x = 2,929,290,604.37/60,330
  6. Step 6: Final answer
    x = 48,554.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.