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Finding the Fourth Proportional to 57,222.52, 85,833.82 and 17,779.66

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Solution

The fourth proportional to 57,222.52, 85,833.82 and 17,779.66 is: 26,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222.52 : 85,833.82 = 17,779.66 : x
  2. Step 2: Convert to fraction form
    57,222.52/85,833.82 = 17,779.66/x
  3. Step 3: Cross multiply
    57,222.52x = 85,833.82 × 17,779.66
  4. Step 4: Simplify right side
    57,222.52x = 1,526,096,136.10
  5. Step 5: Solve for x
    x = 1,526,096,136.10/57,222.52
  6. Step 6: Final answer
    x = 26,669.50

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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.