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Finding the Fourth Proportional to 76,234.40, 114,340.80 and 23,649.20

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Solution

The fourth proportional to 76,234.40, 114,340.80 and 23,649.20 is: 35,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,234.40 : 114,340.80 = 23,649.20 : x
  2. Step 2: Convert to fraction form
    76,234.40/114,340.80 = 23,649.20/x
  3. Step 3: Cross multiply
    76,234.40x = 114,340.80 × 23,649.20
  4. Step 4: Simplify right side
    76,234.40x = 2,704,068,447.36
  5. Step 5: Solve for x
    x = 2,704,068,447.36/76,234.40
  6. Step 6: Final answer
    x = 35,470.45

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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.