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Finding the Fourth Proportional to 71,473.70, 107,075.22 and 47,709.59

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Solution

The fourth proportional to 71,473.70, 107,075.22 and 47,709.59 is: 71,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,473.70 : 107,075.22 = 47,709.59 : x
  2. Step 2: Convert to fraction form
    71,473.70/107,075.22 = 47,709.59/x
  3. Step 3: Cross multiply
    71,473.70x = 107,075.22 × 47,709.59
  4. Step 4: Simplify right side
    71,473.70x = 5,108,514,845.36
  5. Step 5: Solve for x
    x = 5,108,514,845.36/71,473.70
  6. Step 6: Final answer
    x = 71,474.05

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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.