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Finding the Fourth Proportional to 39,782.34, 54,897.75 and 21,878.10

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Solution

The fourth proportional to 39,782.34, 54,897.75 and 21,878.10 is: 30,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.34 : 54,897.75 = 21,878.10 : x
  2. Step 2: Convert to fraction form
    39,782.34/54,897.75 = 21,878.10/x
  3. Step 3: Cross multiply
    39,782.34x = 54,897.75 × 21,878.10
  4. Step 4: Simplify right side
    39,782.34x = 1,201,058,464.28
  5. Step 5: Solve for x
    x = 1,201,058,464.28/39,782.34
  6. Step 6: Final answer
    x = 30,190.74

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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.