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Finding the Fourth Proportional to 38,421.50, 53,021.83 and 21,425.69

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Solution

The fourth proportional to 38,421.50, 53,021.83 and 21,425.69 is: 29,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.50 : 53,021.83 = 21,425.69 : x
  2. Step 2: Convert to fraction form
    38,421.50/53,021.83 = 21,425.69/x
  3. Step 3: Cross multiply
    38,421.50x = 53,021.83 × 21,425.69
  4. Step 4: Simplify right side
    38,421.50x = 1,136,029,292.81
  5. Step 5: Solve for x
    x = 1,136,029,292.81/38,421.50
  6. Step 6: Final answer
    x = 29,567.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.