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Finding the Fourth Proportional to 86,542.20, 129,813.30 and 33,953.40

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Solution

The fourth proportional to 86,542.20, 129,813.30 and 33,953.40 is: 50,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,542.20 : 129,813.30 = 33,953.40 : x
  2. Step 2: Convert to fraction form
    86,542.20/129,813.30 = 33,953.40/x
  3. Step 3: Cross multiply
    86,542.20x = 129,813.30 × 33,953.40
  4. Step 4: Simplify right side
    86,542.20x = 4,407,602,900.22
  5. Step 5: Solve for x
    x = 4,407,602,900.22/86,542.20
  6. Step 6: Final answer
    x = 50,930.10

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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.