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Finding the Fourth Proportional to 75,970.20, 114,057.90 and 44,412.60

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Solution

The fourth proportional to 75,970.20, 114,057.90 and 44,412.60 is: 66,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,970.20 : 114,057.90 = 44,412.60 : x
  2. Step 2: Convert to fraction form
    75,970.20/114,057.90 = 44,412.60/x
  3. Step 3: Cross multiply
    75,970.20x = 114,057.90 × 44,412.60
  4. Step 4: Simplify right side
    75,970.20x = 5,065,607,889.54
  5. Step 5: Solve for x
    x = 5,065,607,889.54/75,970.20
  6. Step 6: Final answer
    x = 66,678.88

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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.