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Finding the Fourth Proportional to 50,863.68, 76,284 and 17,582.40

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Solution

The fourth proportional to 50,863.68, 76,284 and 17,582.40 is: 26,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,863.68 : 76,284 = 17,582.40 : x
  2. Step 2: Convert to fraction form
    50,863.68/76,284 = 17,582.40/x
  3. Step 3: Cross multiply
    50,863.68x = 76,284 × 17,582.40
  4. Step 4: Simplify right side
    50,863.68x = 1,341,255,801.60
  5. Step 5: Solve for x
    x = 1,341,255,801.60/50,863.68
  6. Step 6: Final answer
    x = 26,369.62

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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.