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Finding the Fourth Proportional to 31,072.84, 42,880.68 and 16,925.68

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Solution

The fourth proportional to 31,072.84, 42,880.68 and 16,925.68 is: 23,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072.84 : 42,880.68 = 16,925.68 : x
  2. Step 2: Convert to fraction form
    31,072.84/42,880.68 = 16,925.68/x
  3. Step 3: Cross multiply
    31,072.84x = 42,880.68 × 16,925.68
  4. Step 4: Simplify right side
    31,072.84x = 725,784,667.86
  5. Step 5: Solve for x
    x = 725,784,667.86/31,072.84
  6. Step 6: Final answer
    x = 23,357.53

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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.