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Finding the Fourth Proportional to 31,376, 43,302.72 and 18,128

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Solution

The fourth proportional to 31,376, 43,302.72 and 18,128 is: 25,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376 : 43,302.72 = 18,128 : x
  2. Step 2: Convert to fraction form
    31,376/43,302.72 = 18,128/x
  3. Step 3: Cross multiply
    31,376x = 43,302.72 × 18,128
  4. Step 4: Simplify right side
    31,376x = 784,991,708.16
  5. Step 5: Solve for x
    x = 784,991,708.16/31,376
  6. Step 6: Final answer
    x = 25,018.86

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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.