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Finding the Fourth Proportional to 76,152.28, 114,215.94 and 20,752.60

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Solution

The fourth proportional to 76,152.28, 114,215.94 and 20,752.60 is: 31,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152.28 : 114,215.94 = 20,752.60 : x
  2. Step 2: Convert to fraction form
    76,152.28/114,215.94 = 20,752.60/x
  3. Step 3: Cross multiply
    76,152.28x = 114,215.94 × 20,752.60
  4. Step 4: Simplify right side
    76,152.28x = 2,370,277,716.44
  5. Step 5: Solve for x
    x = 2,370,277,716.44/76,152.28
  6. Step 6: Final answer
    x = 31,125.50

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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.