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Finding the Fourth Proportional to 50,447.76, 75,670.04 and 15,386

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Solution

The fourth proportional to 50,447.76, 75,670.04 and 15,386 is: 23,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,447.76 : 75,670.04 = 15,386 : x
  2. Step 2: Convert to fraction form
    50,447.76/75,670.04 = 15,386/x
  3. Step 3: Cross multiply
    50,447.76x = 75,670.04 × 15,386
  4. Step 4: Simplify right side
    50,447.76x = 1,164,259,235.44
  5. Step 5: Solve for x
    x = 1,164,259,235.44/50,447.76
  6. Step 6: Final answer
    x = 23,078.51

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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.