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Finding the Fourth Proportional to 50,411.63, 75,611.69 and 13,478.51

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Solution

The fourth proportional to 50,411.63, 75,611.69 and 13,478.51 is: 20,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,411.63 : 75,611.69 = 13,478.51 : x
  2. Step 2: Convert to fraction form
    50,411.63/75,611.69 = 13,478.51/x
  3. Step 3: Cross multiply
    50,411.63x = 75,611.69 × 13,478.51
  4. Step 4: Simplify right side
    50,411.63x = 1,019,132,852.39
  5. Step 5: Solve for x
    x = 1,019,132,852.39/50,411.63
  6. Step 6: Final answer
    x = 20,216.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.