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Finding the Fourth Proportional to 37,821.42, 56,732.04 and 10,119.42

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Solution

The fourth proportional to 37,821.42, 56,732.04 and 10,119.42 is: 15,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,821.42 : 56,732.04 = 10,119.42 : x
  2. Step 2: Convert to fraction form
    37,821.42/56,732.04 = 10,119.42/x
  3. Step 3: Cross multiply
    37,821.42x = 56,732.04 × 10,119.42
  4. Step 4: Simplify right side
    37,821.42x = 574,095,340.22
  5. Step 5: Solve for x
    x = 574,095,340.22/37,821.42
  6. Step 6: Final answer
    x = 15,179.11

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1.5x scale

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.