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Finding the Fourth Proportional to 50,409.64, 75,649.31 and 20,827.73

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Solution

The fourth proportional to 50,409.64, 75,649.31 and 20,827.73 is: 31,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409.64 : 75,649.31 = 20,827.73 : x
  2. Step 2: Convert to fraction form
    50,409.64/75,649.31 = 20,827.73/x
  3. Step 3: Cross multiply
    50,409.64x = 75,649.31 × 20,827.73
  4. Step 4: Simplify right side
    50,409.64x = 1,575,603,566.45
  5. Step 5: Solve for x
    x = 1,575,603,566.45/50,409.64
  6. Step 6: Final answer
    x = 31,256.00

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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.