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Finding the Fourth Proportional to 71,075.07, 106,613.10 and 48,821.00

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Solution

The fourth proportional to 71,075.07, 106,613.10 and 48,821.00 is: 73,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,075.07 : 106,613.10 = 48,821.00 : x
  2. Step 2: Convert to fraction form
    71,075.07/106,613.10 = 48,821.00/x
  3. Step 3: Cross multiply
    71,075.07x = 106,613.10 × 48,821.00
  4. Step 4: Simplify right side
    71,075.07x = 5,204,957,622.03
  5. Step 5: Solve for x
    x = 5,204,957,622.03/71,075.07
  6. Step 6: Final answer
    x = 73,231.83

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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.