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Finding the Fourth Proportional to 45,197.84, 67,731.24 and 32,075.84

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Solution

The fourth proportional to 45,197.84, 67,731.24 and 32,075.84 is: 48,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,197.84 : 67,731.24 = 32,075.84 : x
  2. Step 2: Convert to fraction form
    45,197.84/67,731.24 = 32,075.84/x
  3. Step 3: Cross multiply
    45,197.84x = 67,731.24 × 32,075.84
  4. Step 4: Simplify right side
    45,197.84x = 2,172,536,417.24
  5. Step 5: Solve for x
    x = 2,172,536,417.24/45,197.84
  6. Step 6: Final answer
    x = 48,067.26

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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.