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Finding the Fourth Proportional to 31,052.14, 42,850.68 and 16,905

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Solution

The fourth proportional to 31,052.14, 42,850.68 and 16,905 is: 23,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.14 : 42,850.68 = 16,905 : x
  2. Step 2: Convert to fraction form
    31,052.14/42,850.68 = 16,905/x
  3. Step 3: Cross multiply
    31,052.14x = 42,850.68 × 16,905
  4. Step 4: Simplify right side
    31,052.14x = 724,390,745.40
  5. Step 5: Solve for x
    x = 724,390,745.40/31,052.14
  6. Step 6: Final answer
    x = 23,328.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.