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Finding the Fourth Proportional to 76,884.48, 106,040.88 and 48,579.84

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Solution

The fourth proportional to 76,884.48, 106,040.88 and 48,579.84 is: 67,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884.48 : 106,040.88 = 48,579.84 : x
  2. Step 2: Convert to fraction form
    76,884.48/106,040.88 = 48,579.84/x
  3. Step 3: Cross multiply
    76,884.48x = 106,040.88 × 48,579.84
  4. Step 4: Simplify right side
    76,884.48x = 5,151,448,983.86
  5. Step 5: Solve for x
    x = 5,151,448,983.86/76,884.48
  6. Step 6: Final answer
    x = 67,002.46

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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.