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Finding the Fourth Proportional to 32,771.60, 49,152 and 14,054.66

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Solution

The fourth proportional to 32,771.60, 49,152 and 14,054.66 is: 21,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.60 : 49,152 = 14,054.66 : x
  2. Step 2: Convert to fraction form
    32,771.60/49,152 = 14,054.66/x
  3. Step 3: Cross multiply
    32,771.60x = 49,152 × 14,054.66
  4. Step 4: Simplify right side
    32,771.60x = 690,814,648.32
  5. Step 5: Solve for x
    x = 690,814,648.32/32,771.60
  6. Step 6: Final answer
    x = 21,079.67

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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.