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Finding the Fourth Proportional to 50,565.64, 75,823.50 and 15,496.84

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Solution

The fourth proportional to 50,565.64, 75,823.50 and 15,496.84 is: 23,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,565.64 : 75,823.50 = 15,496.84 : x
  2. Step 2: Convert to fraction form
    50,565.64/75,823.50 = 15,496.84/x
  3. Step 3: Cross multiply
    50,565.64x = 75,823.50 × 15,496.84
  4. Step 4: Simplify right side
    50,565.64x = 1,175,024,647.74
  5. Step 5: Solve for x
    x = 1,175,024,647.74/50,565.64
  6. Step 6: Final answer
    x = 23,237.61

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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.