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Finding the Fourth Proportional to 73,818, 101,874.32 and 41,997.15

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Solution

The fourth proportional to 73,818, 101,874.32 and 41,997.15 is: 57,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,818 : 101,874.32 = 41,997.15 : x
  2. Step 2: Convert to fraction form
    73,818/101,874.32 = 41,997.15/x
  3. Step 3: Cross multiply
    73,818x = 101,874.32 × 41,997.15
  4. Step 4: Simplify right side
    73,818x = 4,278,430,888.20
  5. Step 5: Solve for x
    x = 4,278,430,888.20/73,818
  6. Step 6: Final answer
    x = 57,959.18

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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.