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Finding the Fourth Proportional to 36,537.84, 50,405.76 and 21,431.40

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Solution

The fourth proportional to 36,537.84, 50,405.76 and 21,431.40 is: 29,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,537.84 : 50,405.76 = 21,431.40 : x
  2. Step 2: Convert to fraction form
    36,537.84/50,405.76 = 21,431.40/x
  3. Step 3: Cross multiply
    36,537.84x = 50,405.76 × 21,431.40
  4. Step 4: Simplify right side
    36,537.84x = 1,080,266,004.86
  5. Step 5: Solve for x
    x = 1,080,266,004.86/36,537.84
  6. Step 6: Final answer
    x = 29,565.68

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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.