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Finding the Fourth Proportional to 50,742.87, 76,125.51 and 15,202.74

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Solution

The fourth proportional to 50,742.87, 76,125.51 and 15,202.74 is: 22,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742.87 : 76,125.51 = 15,202.74 : x
  2. Step 2: Convert to fraction form
    50,742.87/76,125.51 = 15,202.74/x
  3. Step 3: Cross multiply
    50,742.87x = 76,125.51 × 15,202.74
  4. Step 4: Simplify right side
    50,742.87x = 1,157,316,335.90
  5. Step 5: Solve for x
    x = 1,157,316,335.90/50,742.87
  6. Step 6: Final answer
    x = 22,807.47

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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.