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Finding the Fourth Proportional to 32,996.34, 49,493.98 and 8,036.34

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Solution

The fourth proportional to 32,996.34, 49,493.98 and 8,036.34 is: 12,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996.34 : 49,493.98 = 8,036.34 : x
  2. Step 2: Convert to fraction form
    32,996.34/49,493.98 = 8,036.34/x
  3. Step 3: Cross multiply
    32,996.34x = 49,493.98 × 8,036.34
  4. Step 4: Simplify right side
    32,996.34x = 397,750,411.05
  5. Step 5: Solve for x
    x = 397,750,411.05/32,996.34
  6. Step 6: Final answer
    x = 12,054.38

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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.