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Finding the Fourth Proportional to 70,859.21, 97,796.82 and 41,790.77

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Solution

The fourth proportional to 70,859.21, 97,796.82 and 41,790.77 is: 57,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,859.21 : 97,796.82 = 41,790.77 : x
  2. Step 2: Convert to fraction form
    70,859.21/97,796.82 = 41,790.77/x
  3. Step 3: Cross multiply
    70,859.21x = 97,796.82 × 41,790.77
  4. Step 4: Simplify right side
    70,859.21x = 4,087,004,411.35
  5. Step 5: Solve for x
    x = 4,087,004,411.35/70,859.21
  6. Step 6: Final answer
    x = 57,677.82

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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.