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Finding the Fourth Proportional to 50,957.98, 76,378.65 and 19,766.50

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Solution

The fourth proportional to 50,957.98, 76,378.65 and 19,766.50 is: 29,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,957.98 : 76,378.65 = 19,766.50 : x
  2. Step 2: Convert to fraction form
    50,957.98/76,378.65 = 19,766.50/x
  3. Step 3: Cross multiply
    50,957.98x = 76,378.65 × 19,766.50
  4. Step 4: Simplify right side
    50,957.98x = 1,509,738,585.23
  5. Step 5: Solve for x
    x = 1,509,738,585.23/50,957.98
  6. Step 6: Final answer
    x = 29,627.13

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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.