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Finding the Fourth Proportional to 32,484.42, 48,731.73 and 13,764.57

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Solution

The fourth proportional to 32,484.42, 48,731.73 and 13,764.57 is: 20,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.42 : 48,731.73 = 13,764.57 : x
  2. Step 2: Convert to fraction form
    32,484.42/48,731.73 = 13,764.57/x
  3. Step 3: Cross multiply
    32,484.42x = 48,731.73 × 13,764.57
  4. Step 4: Simplify right side
    32,484.42x = 670,771,308.81
  5. Step 5: Solve for x
    x = 670,771,308.81/32,484.42
  6. Step 6: Final answer
    x = 20,649.02

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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.