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Finding the Fourth Proportional to 115,022, 172,533 and 31,916

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Solution

The fourth proportional to 115,022, 172,533 and 31,916 is: 47,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,022 : 172,533 = 31,916 : x
  2. Step 2: Convert to fraction form
    115,022/172,533 = 31,916/x
  3. Step 3: Cross multiply
    115,022x = 172,533 × 31,916
  4. Step 4: Simplify right side
    115,022x = 5,506,563,228
  5. Step 5: Solve for x
    x = 5,506,563,228/115,022
  6. Step 6: Final answer
    x = 47,874

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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.