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Finding the Fourth Proportional to 80,427.38, 110,994.88 and 46,442.16

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Solution

The fourth proportional to 80,427.38, 110,994.88 and 46,442.16 is: 64,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,427.38 : 110,994.88 = 46,442.16 : x
  2. Step 2: Convert to fraction form
    80,427.38/110,994.88 = 46,442.16/x
  3. Step 3: Cross multiply
    80,427.38x = 110,994.88 × 46,442.16
  4. Step 4: Simplify right side
    80,427.38x = 5,154,841,976.14
  5. Step 5: Solve for x
    x = 5,154,841,976.14/80,427.38
  6. Step 6: Final answer
    x = 64,093.12

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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.