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Finding the Fourth Proportional to 92,552.10, 138,828.16 and 22,431.42

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Solution

The fourth proportional to 92,552.10, 138,828.16 and 22,431.42 is: 33,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,552.10 : 138,828.16 = 22,431.42 : x
  2. Step 2: Convert to fraction form
    92,552.10/138,828.16 = 22,431.42/x
  3. Step 3: Cross multiply
    92,552.10x = 138,828.16 × 22,431.42
  4. Step 4: Simplify right side
    92,552.10x = 3,114,112,160.06
  5. Step 5: Solve for x
    x = 3,114,112,160.06/92,552.10
  6. Step 6: Final answer
    x = 33,647.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.