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Finding the Fourth Proportional to 76,329.80, 114,494.70 and 48,336.20

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Solution

The fourth proportional to 76,329.80, 114,494.70 and 48,336.20 is: 72,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329.80 : 114,494.70 = 48,336.20 : x
  2. Step 2: Convert to fraction form
    76,329.80/114,494.70 = 48,336.20/x
  3. Step 3: Cross multiply
    76,329.80x = 114,494.70 × 48,336.20
  4. Step 4: Simplify right side
    76,329.80x = 5,534,238,718.14
  5. Step 5: Solve for x
    x = 5,534,238,718.14/76,329.80
  6. Step 6: Final answer
    x = 72,504.30

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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.