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Finding the Fourth Proportional to 105,567.83, 158,353.11 and 34,489.92

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Solution

The fourth proportional to 105,567.83, 158,353.11 and 34,489.92 is: 51,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,567.83 : 158,353.11 = 34,489.92 : x
  2. Step 2: Convert to fraction form
    105,567.83/158,353.11 = 34,489.92/x
  3. Step 3: Cross multiply
    105,567.83x = 158,353.11 × 34,489.92
  4. Step 4: Simplify right side
    105,567.83x = 5,461,586,095.65
  5. Step 5: Solve for x
    x = 5,461,586,095.65/105,567.83
  6. Step 6: Final answer
    x = 51,735.33

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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.