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Finding the Fourth Proportional to 50,582.81, 75,877.90 and 19,418.06

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Solution

The fourth proportional to 50,582.81, 75,877.90 and 19,418.06 is: 29,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582.81 : 75,877.90 = 19,418.06 : x
  2. Step 2: Convert to fraction form
    50,582.81/75,877.90 = 19,418.06/x
  3. Step 3: Cross multiply
    50,582.81x = 75,877.90 × 19,418.06
  4. Step 4: Simplify right side
    50,582.81x = 1,473,401,756.02
  5. Step 5: Solve for x
    x = 1,473,401,756.02/50,582.81
  6. Step 6: Final answer
    x = 29,128.51

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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.