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Finding the Fourth Proportional to 71,914.77, 107,908.61 and 48,492

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Solution

The fourth proportional to 71,914.77, 107,908.61 and 48,492 is: 72,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,914.77 : 107,908.61 = 48,492 : x
  2. Step 2: Convert to fraction form
    71,914.77/107,908.61 = 48,492/x
  3. Step 3: Cross multiply
    71,914.77x = 107,908.61 × 48,492
  4. Step 4: Simplify right side
    71,914.77x = 5,232,704,073.66
  5. Step 5: Solve for x
    x = 5,232,704,073.66/71,914.77
  6. Step 6: Final answer
    x = 72,762.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.