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Finding the Fourth Proportional to 46,649, 64,419.36 and 32,540.96

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Solution

The fourth proportional to 46,649, 64,419.36 and 32,540.96 is: 44,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,649 : 64,419.36 = 32,540.96 : x
  2. Step 2: Convert to fraction form
    46,649/64,419.36 = 32,540.96/x
  3. Step 3: Cross multiply
    46,649x = 64,419.36 × 32,540.96
  4. Step 4: Simplify right side
    46,649x = 2,096,267,816.99
  5. Step 5: Solve for x
    x = 2,096,267,816.99/46,649
  6. Step 6: Final answer
    x = 44,937.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.