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Finding the Fourth Proportional to 32,767.60, 49,146 and 14,050.66

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Solution

The fourth proportional to 32,767.60, 49,146 and 14,050.66 is: 21,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.60 : 49,146 = 14,050.66 : x
  2. Step 2: Convert to fraction form
    32,767.60/49,146 = 14,050.66/x
  3. Step 3: Cross multiply
    32,767.60x = 49,146 × 14,050.66
  4. Step 4: Simplify right side
    32,767.60x = 690,533,736.36
  5. Step 5: Solve for x
    x = 690,533,736.36/32,767.60
  6. Step 6: Final answer
    x = 21,073.67

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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.