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Finding the Fourth Proportional to 81,841.54, 113,144.30 and 81,094.32

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Solution

The fourth proportional to 81,841.54, 113,144.30 and 81,094.32 is: 112,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,841.54 : 113,144.30 = 81,094.32 : x
  2. Step 2: Convert to fraction form
    81,841.54/113,144.30 = 81,094.32/x
  3. Step 3: Cross multiply
    81,841.54x = 113,144.30 × 81,094.32
  4. Step 4: Simplify right side
    81,841.54x = 9,175,360,070.38
  5. Step 5: Solve for x
    x = 9,175,360,070.38/81,841.54
  6. Step 6: Final answer
    x = 112,111.28

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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.