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Finding the Fourth Proportional to 39,459.48, 59,174.10 and 21,444

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Solution

The fourth proportional to 39,459.48, 59,174.10 and 21,444 is: 32,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,459.48 : 59,174.10 = 21,444 : x
  2. Step 2: Convert to fraction form
    39,459.48/59,174.10 = 21,444/x
  3. Step 3: Cross multiply
    39,459.48x = 59,174.10 × 21,444
  4. Step 4: Simplify right side
    39,459.48x = 1,268,929,400.40
  5. Step 5: Solve for x
    x = 1,268,929,400.40/39,459.48
  6. Step 6: Final answer
    x = 32,157.78

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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.