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Finding the Fourth Proportional to 32,780.25, 49,170.51 and 12,003.75

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Solution

The fourth proportional to 32,780.25, 49,170.51 and 12,003.75 is: 18,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.25 : 49,170.51 = 12,003.75 : x
  2. Step 2: Convert to fraction form
    32,780.25/49,170.51 = 12,003.75/x
  3. Step 3: Cross multiply
    32,780.25x = 49,170.51 × 12,003.75
  4. Step 4: Simplify right side
    32,780.25x = 590,230,509.41
  5. Step 5: Solve for x
    x = 590,230,509.41/32,780.25
  6. Step 6: Final answer
    x = 18,005.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.