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Finding the Fourth Proportional to 57,595.70, 86,237.76 and 29,835.38

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Solution

The fourth proportional to 57,595.70, 86,237.76 and 29,835.38 is: 44,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,595.70 : 86,237.76 = 29,835.38 : x
  2. Step 2: Convert to fraction form
    57,595.70/86,237.76 = 29,835.38/x
  3. Step 3: Cross multiply
    57,595.70x = 86,237.76 × 29,835.38
  4. Step 4: Simplify right side
    57,595.70x = 2,572,936,339.95
  5. Step 5: Solve for x
    x = 2,572,936,339.95/57,595.70
  6. Step 6: Final answer
    x = 44,672.37

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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.