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Finding the Fourth Proportional to 31,200.72, 46,808.40 and 21,344.64

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Solution

The fourth proportional to 31,200.72, 46,808.40 and 21,344.64 is: 32,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.72 : 46,808.40 = 21,344.64 : x
  2. Step 2: Convert to fraction form
    31,200.72/46,808.40 = 21,344.64/x
  3. Step 3: Cross multiply
    31,200.72x = 46,808.40 × 21,344.64
  4. Step 4: Simplify right side
    31,200.72x = 999,108,446.98
  5. Step 5: Solve for x
    x = 999,108,446.98/31,200.72
  6. Step 6: Final answer
    x = 32,021.97

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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.