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Finding the Fourth Proportional to 50,557.16, 75,855.42 and 20,967.56

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Solution

The fourth proportional to 50,557.16, 75,855.42 and 20,967.56 is: 31,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,557.16 : 75,855.42 = 20,967.56 : x
  2. Step 2: Convert to fraction form
    50,557.16/75,855.42 = 20,967.56/x
  3. Step 3: Cross multiply
    50,557.16x = 75,855.42 × 20,967.56
  4. Step 4: Simplify right side
    50,557.16x = 1,590,503,070.18
  5. Step 5: Solve for x
    x = 1,590,503,070.18/50,557.16
  6. Step 6: Final answer
    x = 31,459.50

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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.