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Finding the Fourth Proportional to 50,135.34, 75,203.12 and 20,547.87

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Solution

The fourth proportional to 50,135.34, 75,203.12 and 20,547.87 is: 30,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,135.34 : 75,203.12 = 20,547.87 : x
  2. Step 2: Convert to fraction form
    50,135.34/75,203.12 = 20,547.87/x
  3. Step 3: Cross multiply
    50,135.34x = 75,203.12 × 20,547.87
  4. Step 4: Simplify right side
    50,135.34x = 1,545,263,933.35
  5. Step 5: Solve for x
    x = 1,545,263,933.35/50,135.34
  6. Step 6: Final answer
    x = 30,821.85

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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.