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Finding the Fourth Proportional to 50,645.76, 75,968.80 and 15,585.20

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Solution

The fourth proportional to 50,645.76, 75,968.80 and 15,585.20 is: 23,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645.76 : 75,968.80 = 15,585.20 : x
  2. Step 2: Convert to fraction form
    50,645.76/75,968.80 = 15,585.20/x
  3. Step 3: Cross multiply
    50,645.76x = 75,968.80 × 15,585.20
  4. Step 4: Simplify right side
    50,645.76x = 1,183,988,941.76
  5. Step 5: Solve for x
    x = 1,183,988,941.76/50,645.76
  6. Step 6: Final answer
    x = 23,377.85

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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.