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Finding the Fourth Proportional to 76,370.40, 114,544.80 and 23,785.20

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Solution

The fourth proportional to 76,370.40, 114,544.80 and 23,785.20 is: 35,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,370.40 : 114,544.80 = 23,785.20 : x
  2. Step 2: Convert to fraction form
    76,370.40/114,544.80 = 23,785.20/x
  3. Step 3: Cross multiply
    76,370.40x = 114,544.80 × 23,785.20
  4. Step 4: Simplify right side
    76,370.40x = 2,724,470,976.96
  5. Step 5: Solve for x
    x = 2,724,470,976.96/76,370.40
  6. Step 6: Final answer
    x = 35,674.44

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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.