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Finding the Fourth Proportional to 43,124, 64,686 and 11,959.25

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Solution

The fourth proportional to 43,124, 64,686 and 11,959.25 is: 17,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,124 : 64,686 = 11,959.25 : x
  2. Step 2: Convert to fraction form
    43,124/64,686 = 11,959.25/x
  3. Step 3: Cross multiply
    43,124x = 64,686 × 11,959.25
  4. Step 4: Simplify right side
    43,124x = 773,596,045.50
  5. Step 5: Solve for x
    x = 773,596,045.50/43,124
  6. Step 6: Final answer
    x = 17,938.88

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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.