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Finding the Fourth Proportional to 86,584.96, 129,779.10 and 36,633.88

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Solution

The fourth proportional to 86,584.96, 129,779.10 and 36,633.88 is: 54,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,584.96 : 129,779.10 = 36,633.88 : x
  2. Step 2: Convert to fraction form
    86,584.96/129,779.10 = 36,633.88/x
  3. Step 3: Cross multiply
    86,584.96x = 129,779.10 × 36,633.88
  4. Step 4: Simplify right side
    86,584.96x = 4,754,311,975.91
  5. Step 5: Solve for x
    x = 4,754,311,975.91/86,584.96
  6. Step 6: Final answer
    x = 54,909.21

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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.