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Finding the Fourth Proportional to 33,208.80, 49,822.80 and 9,835.68

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Solution

The fourth proportional to 33,208.80, 49,822.80 and 9,835.68 is: 14,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.80 : 49,822.80 = 9,835.68 : x
  2. Step 2: Convert to fraction form
    33,208.80/49,822.80 = 9,835.68/x
  3. Step 3: Cross multiply
    33,208.80x = 49,822.80 × 9,835.68
  4. Step 4: Simplify right side
    33,208.80x = 490,041,117.50
  5. Step 5: Solve for x
    x = 490,041,117.50/33,208.80
  6. Step 6: Final answer
    x = 14,756.36

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1.5x scale

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.