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Finding the Fourth Proportional to 32,808.96, 49,216.80 and 13,084.80

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Solution

The fourth proportional to 32,808.96, 49,216.80 and 13,084.80 is: 19,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,808.96 : 49,216.80 = 13,084.80 : x
  2. Step 2: Convert to fraction form
    32,808.96/49,216.80 = 13,084.80/x
  3. Step 3: Cross multiply
    32,808.96x = 49,216.80 × 13,084.80
  4. Step 4: Simplify right side
    32,808.96x = 643,991,984.64
  5. Step 5: Solve for x
    x = 643,991,984.64/32,808.96
  6. Step 6: Final answer
    x = 19,628.54

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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.