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Finding the Fourth Proportional to 32,810.96, 49,219.80 and 13,086.80

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Solution

The fourth proportional to 32,810.96, 49,219.80 and 13,086.80 is: 19,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.96 : 49,219.80 = 13,086.80 : x
  2. Step 2: Convert to fraction form
    32,810.96/49,219.80 = 13,086.80/x
  3. Step 3: Cross multiply
    32,810.96x = 49,219.80 × 13,086.80
  4. Step 4: Simplify right side
    32,810.96x = 644,129,678.64
  5. Step 5: Solve for x
    x = 644,129,678.64/32,810.96
  6. Step 6: Final answer
    x = 19,631.54

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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.