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Finding the Fourth Proportional to 38,184, 57,277.08 and 10,482

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Solution

The fourth proportional to 38,184, 57,277.08 and 10,482 is: 15,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184 : 57,277.08 = 10,482 : x
  2. Step 2: Convert to fraction form
    38,184/57,277.08 = 10,482/x
  3. Step 3: Cross multiply
    38,184x = 57,277.08 × 10,482
  4. Step 4: Simplify right side
    38,184x = 600,378,352.56
  5. Step 5: Solve for x
    x = 600,378,352.56/38,184
  6. Step 6: Final answer
    x = 15,723.30

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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.