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Finding the Fourth Proportional to 113,779.48, 170,654.22 and 33,815.74

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Solution

The fourth proportional to 113,779.48, 170,654.22 and 33,815.74 is: 50,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,779.48 : 170,654.22 = 33,815.74 : x
  2. Step 2: Convert to fraction form
    113,779.48/170,654.22 = 33,815.74/x
  3. Step 3: Cross multiply
    113,779.48x = 170,654.22 × 33,815.74
  4. Step 4: Simplify right side
    113,779.48x = 5,770,798,733.42
  5. Step 5: Solve for x
    x = 5,770,798,733.42/113,779.48
  6. Step 6: Final answer
    x = 50,719.15

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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.