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Finding the Fourth Proportional to 88,493.84, 122,041.32 and 58,634

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Solution

The fourth proportional to 88,493.84, 122,041.32 and 58,634 is: 80,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,493.84 : 122,041.32 = 58,634 : x
  2. Step 2: Convert to fraction form
    88,493.84/122,041.32 = 58,634/x
  3. Step 3: Cross multiply
    88,493.84x = 122,041.32 × 58,634
  4. Step 4: Simplify right side
    88,493.84x = 7,155,770,756.88
  5. Step 5: Solve for x
    x = 7,155,770,756.88/88,493.84
  6. Step 6: Final answer
    x = 80,861.80

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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.