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Finding the Fourth Proportional to 43,117.92, 64,676.40 and 11,952

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Solution

The fourth proportional to 43,117.92, 64,676.40 and 11,952 is: 17,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,117.92 : 64,676.40 = 11,952 : x
  2. Step 2: Convert to fraction form
    43,117.92/64,676.40 = 11,952/x
  3. Step 3: Cross multiply
    43,117.92x = 64,676.40 × 11,952
  4. Step 4: Simplify right side
    43,117.92x = 773,012,332.80
  5. Step 5: Solve for x
    x = 773,012,332.80/43,117.92
  6. Step 6: Final answer
    x = 17,927.87

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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.