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Finding the Fourth Proportional to 50,460.42, 75,725.82 and 20,878.50

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Solution

The fourth proportional to 50,460.42, 75,725.82 and 20,878.50 is: 31,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,460.42 : 75,725.82 = 20,878.50 : x
  2. Step 2: Convert to fraction form
    50,460.42/75,725.82 = 20,878.50/x
  3. Step 3: Cross multiply
    50,460.42x = 75,725.82 × 20,878.50
  4. Step 4: Simplify right side
    50,460.42x = 1,581,041,532.87
  5. Step 5: Solve for x
    x = 1,581,041,532.87/50,460.42
  6. Step 6: Final answer
    x = 31,332.31

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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.