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Finding the Fourth Proportional to 47,175.72, 65,075.46 and 29,481

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Solution

The fourth proportional to 47,175.72, 65,075.46 and 29,481 is: 40,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175.72 : 65,075.46 = 29,481 : x
  2. Step 2: Convert to fraction form
    47,175.72/65,075.46 = 29,481/x
  3. Step 3: Cross multiply
    47,175.72x = 65,075.46 × 29,481
  4. Step 4: Simplify right side
    47,175.72x = 1,918,489,636.26
  5. Step 5: Solve for x
    x = 1,918,489,636.26/47,175.72
  6. Step 6: Final answer
    x = 40,666.89

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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.