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Finding the Fourth Proportional to 57,648.81, 86,499.48 and 29,588.56

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Solution

The fourth proportional to 57,648.81, 86,499.48 and 29,588.56 is: 44,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,648.81 : 86,499.48 = 29,588.56 : x
  2. Step 2: Convert to fraction form
    57,648.81/86,499.48 = 29,588.56/x
  3. Step 3: Cross multiply
    57,648.81x = 86,499.48 × 29,588.56
  4. Step 4: Simplify right side
    57,648.81x = 2,559,395,053.95
  5. Step 5: Solve for x
    x = 2,559,395,053.95/57,648.81
  6. Step 6: Final answer
    x = 44,396.32

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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.