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Finding the Fourth Proportional to 76,256.44, 114,384.66 and 20,852.44

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Solution

The fourth proportional to 76,256.44, 114,384.66 and 20,852.44 is: 31,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,256.44 : 114,384.66 = 20,852.44 : x
  2. Step 2: Convert to fraction form
    76,256.44/114,384.66 = 20,852.44/x
  3. Step 3: Cross multiply
    76,256.44x = 114,384.66 × 20,852.44
  4. Step 4: Simplify right side
    76,256.44x = 2,385,198,895.41
  5. Step 5: Solve for x
    x = 2,385,198,895.41/76,256.44
  6. Step 6: Final answer
    x = 31,278.66

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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.