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Finding the Fourth Proportional to 50,578.80, 75,871.80 and 15,518.40

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Solution

The fourth proportional to 50,578.80, 75,871.80 and 15,518.40 is: 23,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,578.80 : 75,871.80 = 15,518.40 : x
  2. Step 2: Convert to fraction form
    50,578.80/75,871.80 = 15,518.40/x
  3. Step 3: Cross multiply
    50,578.80x = 75,871.80 × 15,518.40
  4. Step 4: Simplify right side
    50,578.80x = 1,177,408,941.12
  5. Step 5: Solve for x
    x = 1,177,408,941.12/50,578.80
  6. Step 6: Final answer
    x = 23,278.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.