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Finding the Fourth Proportional to 70,997.76, 97,983.36 and 41,184

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Solution

The fourth proportional to 70,997.76, 97,983.36 and 41,184 is: 56,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,997.76 : 97,983.36 = 41,184 : x
  2. Step 2: Convert to fraction form
    70,997.76/97,983.36 = 41,184/x
  3. Step 3: Cross multiply
    70,997.76x = 97,983.36 × 41,184
  4. Step 4: Simplify right side
    70,997.76x = 4,035,346,698.24
  5. Step 5: Solve for x
    x = 4,035,346,698.24/70,997.76
  6. Step 6: Final answer
    x = 56,837.66

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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.