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Finding the Fourth Proportional to 33,206.78, 49,810.08 and 9,835.04

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Solution

The fourth proportional to 33,206.78, 49,810.08 and 9,835.04 is: 14,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206.78 : 49,810.08 = 9,835.04 : x
  2. Step 2: Convert to fraction form
    33,206.78/49,810.08 = 9,835.04/x
  3. Step 3: Cross multiply
    33,206.78x = 49,810.08 × 9,835.04
  4. Step 4: Simplify right side
    33,206.78x = 489,884,129.20
  5. Step 5: Solve for x
    x = 489,884,129.20/33,206.78
  6. Step 6: Final answer
    x = 14,752.53

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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.