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Finding the Fourth Proportional to 39,410.90, 54,387.18 and 21,506.30

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Solution

The fourth proportional to 39,410.90, 54,387.18 and 21,506.30 is: 29,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410.90 : 54,387.18 = 21,506.30 : x
  2. Step 2: Convert to fraction form
    39,410.90/54,387.18 = 21,506.30/x
  3. Step 3: Cross multiply
    39,410.90x = 54,387.18 × 21,506.30
  4. Step 4: Simplify right side
    39,410.90x = 1,169,667,009.23
  5. Step 5: Solve for x
    x = 1,169,667,009.23/39,410.90
  6. Step 6: Final answer
    x = 29,678.77

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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.