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Finding the Fourth Proportional to 39,412.50, 54,390.40 and 21,508.65

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Solution

The fourth proportional to 39,412.50, 54,390.40 and 21,508.65 is: 29,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412.50 : 54,390.40 = 21,508.65 : x
  2. Step 2: Convert to fraction form
    39,412.50/54,390.40 = 21,508.65/x
  3. Step 3: Cross multiply
    39,412.50x = 54,390.40 × 21,508.65
  4. Step 4: Simplify right side
    39,412.50x = 1,169,864,023.19
  5. Step 5: Solve for x
    x = 1,169,864,023.19/39,412.50
  6. Step 6: Final answer
    x = 29,682.57

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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.