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Finding the Fourth Proportional to 76,016.32, 114,028.32 and 23,461.76

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Solution

The fourth proportional to 76,016.32, 114,028.32 and 23,461.76 is: 35,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,016.32 : 114,028.32 = 23,461.76 : x
  2. Step 2: Convert to fraction form
    76,016.32/114,028.32 = 23,461.76/x
  3. Step 3: Cross multiply
    76,016.32x = 114,028.32 × 23,461.76
  4. Step 4: Simplify right side
    76,016.32x = 2,675,305,077.04
  5. Step 5: Solve for x
    x = 2,675,305,077.04/76,016.32
  6. Step 6: Final answer
    x = 35,193.83

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1.5x scale

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.