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Finding the Fourth Proportional to 31,097.96, 42,915.27 and 17,673.68

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Solution

The fourth proportional to 31,097.96, 42,915.27 and 17,673.68 is: 24,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.96 : 42,915.27 = 17,673.68 : x
  2. Step 2: Convert to fraction form
    31,097.96/42,915.27 = 17,673.68/x
  3. Step 3: Cross multiply
    31,097.96x = 42,915.27 × 17,673.68
  4. Step 4: Simplify right side
    31,097.96x = 758,470,534.52
  5. Step 5: Solve for x
    x = 758,470,534.52/31,097.96
  6. Step 6: Final answer
    x = 24,389.72

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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.