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Finding the Fourth Proportional to 75,216.80, 103,846.46 and 48,406.01

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Solution

The fourth proportional to 75,216.80, 103,846.46 and 48,406.01 is: 66,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216.80 : 103,846.46 = 48,406.01 : x
  2. Step 2: Convert to fraction form
    75,216.80/103,846.46 = 48,406.01/x
  3. Step 3: Cross multiply
    75,216.80x = 103,846.46 × 48,406.01
  4. Step 4: Simplify right side
    75,216.80x = 5,026,792,019.96
  5. Step 5: Solve for x
    x = 5,026,792,019.96/75,216.80
  6. Step 6: Final answer
    x = 66,830.71

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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.