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Finding the Fourth Proportional to 57,574, 86,365.95 and 16,021

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Solution

The fourth proportional to 57,574, 86,365.95 and 16,021 is: 24,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,574 : 86,365.95 = 16,021 : x
  2. Step 2: Convert to fraction form
    57,574/86,365.95 = 16,021/x
  3. Step 3: Cross multiply
    57,574x = 86,365.95 × 16,021
  4. Step 4: Simplify right side
    57,574x = 1,383,668,884.95
  5. Step 5: Solve for x
    x = 1,383,668,884.95/57,574
  6. Step 6: Final answer
    x = 24,032.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.