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Finding the Fourth Proportional to 32,771.42, 45,120.98 and 29,778.32

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Solution

The fourth proportional to 32,771.42, 45,120.98 and 29,778.32 is: 40,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.42 : 45,120.98 = 29,778.32 : x
  2. Step 2: Convert to fraction form
    32,771.42/45,120.98 = 29,778.32/x
  3. Step 3: Cross multiply
    32,771.42x = 45,120.98 × 29,778.32
  4. Step 4: Simplify right side
    32,771.42x = 1,343,626,981.15
  5. Step 5: Solve for x
    x = 1,343,626,981.15/32,771.42
  6. Step 6: Final answer
    x = 40,999.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.