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Finding the Fourth Proportional to 31,383.48, 47,075.22 and 11,667

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Solution

The fourth proportional to 31,383.48, 47,075.22 and 11,667 is: 17,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.48 : 47,075.22 = 11,667 : x
  2. Step 2: Convert to fraction form
    31,383.48/47,075.22 = 11,667/x
  3. Step 3: Cross multiply
    31,383.48x = 47,075.22 × 11,667
  4. Step 4: Simplify right side
    31,383.48x = 549,226,591.74
  5. Step 5: Solve for x
    x = 549,226,591.74/31,383.48
  6. Step 6: Final answer
    x = 17,500.50

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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.