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Finding the Fourth Proportional to 38,421.69, 53,022.87 and 21,425.77

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Solution

The fourth proportional to 38,421.69, 53,022.87 and 21,425.77 is: 29,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.69 : 53,022.87 = 21,425.77 : x
  2. Step 2: Convert to fraction form
    38,421.69/53,022.87 = 21,425.77/x
  3. Step 3: Cross multiply
    38,421.69x = 53,022.87 × 21,425.77
  4. Step 4: Simplify right side
    38,421.69x = 1,136,055,817.36
  5. Step 5: Solve for x
    x = 1,136,055,817.36/38,421.69
  6. Step 6: Final answer
    x = 29,568.09

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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.