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Finding the Fourth Proportional to 57,153.69, 78,869.34 and 31,658.33

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Solution

The fourth proportional to 57,153.69, 78,869.34 and 31,658.33 is: 43,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153.69 : 78,869.34 = 31,658.33 : x
  2. Step 2: Convert to fraction form
    57,153.69/78,869.34 = 31,658.33/x
  3. Step 3: Cross multiply
    57,153.69x = 78,869.34 × 31,658.33
  4. Step 4: Simplify right side
    57,153.69x = 2,496,871,592.60
  5. Step 5: Solve for x
    x = 2,496,871,592.60/57,153.69
  6. Step 6: Final answer
    x = 43,686.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.