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Finding the Fourth Proportional to 105,779.58, 158,674.65 and 34,695.91

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Solution

The fourth proportional to 105,779.58, 158,674.65 and 34,695.91 is: 52,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,779.58 : 158,674.65 = 34,695.91 : x
  2. Step 2: Convert to fraction form
    105,779.58/158,674.65 = 34,695.91/x
  3. Step 3: Cross multiply
    105,779.58x = 158,674.65 × 34,695.91
  4. Step 4: Simplify right side
    105,779.58x = 5,505,361,375.68
  5. Step 5: Solve for x
    x = 5,505,361,375.68/105,779.58
  6. Step 6: Final answer
    x = 52,045.60

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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.