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Finding the Fourth Proportional to 39,703.32, 59,427 and 21,906

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Solution

The fourth proportional to 39,703.32, 59,427 and 21,906 is: 32,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,703.32 : 59,427 = 21,906 : x
  2. Step 2: Convert to fraction form
    39,703.32/59,427 = 21,906/x
  3. Step 3: Cross multiply
    39,703.32x = 59,427 × 21,906
  4. Step 4: Simplify right side
    39,703.32x = 1,301,807,862
  5. Step 5: Solve for x
    x = 1,301,807,862/39,703.32
  6. Step 6: Final answer
    x = 32,788.39

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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.