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Finding the Fourth Proportional to 39,710.85, 54,801.84 and 21,807

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Solution

The fourth proportional to 39,710.85, 54,801.84 and 21,807 is: 30,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,710.85 : 54,801.84 = 21,807 : x
  2. Step 2: Convert to fraction form
    39,710.85/54,801.84 = 21,807/x
  3. Step 3: Cross multiply
    39,710.85x = 54,801.84 × 21,807
  4. Step 4: Simplify right side
    39,710.85x = 1,195,063,724.88
  5. Step 5: Solve for x
    x = 1,195,063,724.88/39,710.85
  6. Step 6: Final answer
    x = 30,094.14

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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.