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Finding the Fourth Proportional to 86,829.80, 130,212.30 and 34,228.40

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Solution

The fourth proportional to 86,829.80, 130,212.30 and 34,228.40 is: 51,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,829.80 : 130,212.30 = 34,228.40 : x
  2. Step 2: Convert to fraction form
    86,829.80/130,212.30 = 34,228.40/x
  3. Step 3: Cross multiply
    86,829.80x = 130,212.30 × 34,228.40
  4. Step 4: Simplify right side
    86,829.80x = 4,456,958,689.32
  5. Step 5: Solve for x
    x = 4,456,958,689.32/86,829.80
  6. Step 6: Final answer
    x = 51,329.83

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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.