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Finding the Fourth Proportional to 32,671.84, 49,007.76 and 8,047.84

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Solution

The fourth proportional to 32,671.84, 49,007.76 and 8,047.84 is: 12,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.84 : 49,007.76 = 8,047.84 : x
  2. Step 2: Convert to fraction form
    32,671.84/49,007.76 = 8,047.84/x
  3. Step 3: Cross multiply
    32,671.84x = 49,007.76 × 8,047.84
  4. Step 4: Simplify right side
    32,671.84x = 394,406,611.24
  5. Step 5: Solve for x
    x = 394,406,611.24/32,671.84
  6. Step 6: Final answer
    x = 12,071.76

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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.