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Finding the Fourth Proportional to 39,453, 59,189.76 and 11,751

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Solution

The fourth proportional to 39,453, 59,189.76 and 11,751 is: 17,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,453 : 59,189.76 = 11,751 : x
  2. Step 2: Convert to fraction form
    39,453/59,189.76 = 11,751/x
  3. Step 3: Cross multiply
    39,453x = 59,189.76 × 11,751
  4. Step 4: Simplify right side
    39,453x = 695,538,869.76
  5. Step 5: Solve for x
    x = 695,538,869.76/39,453
  6. Step 6: Final answer
    x = 17,629.56

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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.