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Finding the Fourth Proportional to 39,435.12, 59,174.46 and 16,056

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Solution

The fourth proportional to 39,435.12, 59,174.46 and 16,056 is: 24,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,435.12 : 59,174.46 = 16,056 : x
  2. Step 2: Convert to fraction form
    39,435.12/59,174.46 = 16,056/x
  3. Step 3: Cross multiply
    39,435.12x = 59,174.46 × 16,056
  4. Step 4: Simplify right side
    39,435.12x = 950,105,129.76
  5. Step 5: Solve for x
    x = 950,105,129.76/39,435.12
  6. Step 6: Final answer
    x = 24,092.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.