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Finding the Fourth Proportional to 50,443.42, 75,677.28 and 15,380.92

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Solution

The fourth proportional to 50,443.42, 75,677.28 and 15,380.92 is: 23,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,443.42 : 75,677.28 = 15,380.92 : x
  2. Step 2: Convert to fraction form
    50,443.42/75,677.28 = 15,380.92/x
  3. Step 3: Cross multiply
    50,443.42x = 75,677.28 × 15,380.92
  4. Step 4: Simplify right side
    50,443.42x = 1,163,986,189.50
  5. Step 5: Solve for x
    x = 1,163,986,189.50/50,443.42
  6. Step 6: Final answer
    x = 23,075.08

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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.