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Finding the Fourth Proportional to 71,290, 98,406.12 and 41,482

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Solution

The fourth proportional to 71,290, 98,406.12 and 41,482 is: 57,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,290 : 98,406.12 = 41,482 : x
  2. Step 2: Convert to fraction form
    71,290/98,406.12 = 41,482/x
  3. Step 3: Cross multiply
    71,290x = 98,406.12 × 41,482
  4. Step 4: Simplify right side
    71,290x = 4,082,082,669.84
  5. Step 5: Solve for x
    x = 4,082,082,669.84/71,290
  6. Step 6: Final answer
    x = 57,260.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.