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Finding the Fourth Proportional to 50,932.64, 76,403.04 and 19,357.83

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Solution

The fourth proportional to 50,932.64, 76,403.04 and 19,357.83 is: 29,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,932.64 : 76,403.04 = 19,357.83 : x
  2. Step 2: Convert to fraction form
    50,932.64/76,403.04 = 19,357.83/x
  3. Step 3: Cross multiply
    50,932.64x = 76,403.04 × 19,357.83
  4. Step 4: Simplify right side
    50,932.64x = 1,478,997,059.80
  5. Step 5: Solve for x
    x = 1,478,997,059.80/50,932.64
  6. Step 6: Final answer
    x = 29,038.30

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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.