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Finding the Fourth Proportional to 76,064.32, 114,146.16 and 34,511.68

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Solution

The fourth proportional to 76,064.32, 114,146.16 and 34,511.68 is: 51,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,064.32 : 114,146.16 = 34,511.68 : x
  2. Step 2: Convert to fraction form
    76,064.32/114,146.16 = 34,511.68/x
  3. Step 3: Cross multiply
    76,064.32x = 114,146.16 × 34,511.68
  4. Step 4: Simplify right side
    76,064.32x = 3,939,375,747.15
  5. Step 5: Solve for x
    x = 3,939,375,747.15/76,064.32
  6. Step 6: Final answer
    x = 51,790.06

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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.