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Finding the Fourth Proportional to 50,646.42, 75,978.27 and 15,585.30

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Solution

The fourth proportional to 50,646.42, 75,978.27 and 15,585.30 is: 23,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,646.42 : 75,978.27 = 15,585.30 : x
  2. Step 2: Convert to fraction form
    50,646.42/75,978.27 = 15,585.30/x
  3. Step 3: Cross multiply
    50,646.42x = 75,978.27 × 15,585.30
  4. Step 4: Simplify right side
    50,646.42x = 1,184,144,131.43
  5. Step 5: Solve for x
    x = 1,184,144,131.43/50,646.42
  6. Step 6: Final answer
    x = 23,380.61

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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.