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Finding the Fourth Proportional to 76,388.33, 114,342.62 and 48,210.90

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Solution

The fourth proportional to 76,388.33, 114,342.62 and 48,210.90 is: 72,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,388.33 : 114,342.62 = 48,210.90 : x
  2. Step 2: Convert to fraction form
    76,388.33/114,342.62 = 48,210.90/x
  3. Step 3: Cross multiply
    76,388.33x = 114,342.62 × 48,210.90
  4. Step 4: Simplify right side
    76,388.33x = 5,512,560,377.50
  5. Step 5: Solve for x
    x = 5,512,560,377.50/76,388.33
  6. Step 6: Final answer
    x = 72,164.96

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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.