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Finding the Fourth Proportional to 31,449.47, 47,174.69 and 8,075.39

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Solution

The fourth proportional to 31,449.47, 47,174.69 and 8,075.39 is: 12,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449.47 : 47,174.69 = 8,075.39 : x
  2. Step 2: Convert to fraction form
    31,449.47/47,174.69 = 8,075.39/x
  3. Step 3: Cross multiply
    31,449.47x = 47,174.69 × 8,075.39
  4. Step 4: Simplify right side
    31,449.47x = 380,953,979.50
  5. Step 5: Solve for x
    x = 380,953,979.50/31,449.47
  6. Step 6: Final answer
    x = 12,113.21

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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.