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Finding the Fourth Proportional to 43,764.48, 65,658 and 12,602.16

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Solution

The fourth proportional to 43,764.48, 65,658 and 12,602.16 is: 18,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,764.48 : 65,658 = 12,602.16 : x
  2. Step 2: Convert to fraction form
    43,764.48/65,658 = 12,602.16/x
  3. Step 3: Cross multiply
    43,764.48x = 65,658 × 12,602.16
  4. Step 4: Simplify right side
    43,764.48x = 827,432,621.28
  5. Step 5: Solve for x
    x = 827,432,621.28/43,764.48
  6. Step 6: Final answer
    x = 18,906.49

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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.