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Finding the Fourth Proportional to 106,779.60, 160,120.80 and 47,584.80

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Solution

The fourth proportional to 106,779.60, 160,120.80 and 47,584.80 is: 71,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,779.60 : 160,120.80 = 47,584.80 : x
  2. Step 2: Convert to fraction form
    106,779.60/160,120.80 = 47,584.80/x
  3. Step 3: Cross multiply
    106,779.60x = 160,120.80 × 47,584.80
  4. Step 4: Simplify right side
    106,779.60x = 7,619,316,243.84
  5. Step 5: Solve for x
    x = 7,619,316,243.84/106,779.60
  6. Step 6: Final answer
    x = 71,355.54

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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.