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Finding the Fourth Proportional to 39,563.14, 54,596.91 and 21,658

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Solution

The fourth proportional to 39,563.14, 54,596.91 and 21,658 is: 29,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,563.14 : 54,596.91 = 21,658 : x
  2. Step 2: Convert to fraction form
    39,563.14/54,596.91 = 21,658/x
  3. Step 3: Cross multiply
    39,563.14x = 54,596.91 × 21,658
  4. Step 4: Simplify right side
    39,563.14x = 1,182,459,876.78
  5. Step 5: Solve for x
    x = 1,182,459,876.78/39,563.14
  6. Step 6: Final answer
    x = 29,887.92

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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.