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Finding the Fourth Proportional to 57,342.60, 86,063.11 and 27,779.83

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Solution

The fourth proportional to 57,342.60, 86,063.11 and 27,779.83 is: 41,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,342.60 : 86,063.11 = 27,779.83 : x
  2. Step 2: Convert to fraction form
    57,342.60/86,063.11 = 27,779.83/x
  3. Step 3: Cross multiply
    57,342.60x = 86,063.11 × 27,779.83
  4. Step 4: Simplify right side
    57,342.60x = 2,390,818,280.46
  5. Step 5: Solve for x
    x = 2,390,818,280.46/57,342.60
  6. Step 6: Final answer
    x = 41,693.58

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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.