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Finding the Fourth Proportional to 50,661.84, 75,878.54 and 24,386.24

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Solution

The fourth proportional to 50,661.84, 75,878.54 and 24,386.24 is: 36,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,661.84 : 75,878.54 = 24,386.24 : x
  2. Step 2: Convert to fraction form
    50,661.84/75,878.54 = 24,386.24/x
  3. Step 3: Cross multiply
    50,661.84x = 75,878.54 × 24,386.24
  4. Step 4: Simplify right side
    50,661.84x = 1,850,392,287.29
  5. Step 5: Solve for x
    x = 1,850,392,287.29/50,661.84
  6. Step 6: Final answer
    x = 36,524.38

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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.