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Finding the Fourth Proportional to 57,806.52, 86,715.58 and 15,687.26

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Solution

The fourth proportional to 57,806.52, 86,715.58 and 15,687.26 is: 23,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.52 : 86,715.58 = 15,687.26 : x
  2. Step 2: Convert to fraction form
    57,806.52/86,715.58 = 15,687.26/x
  3. Step 3: Cross multiply
    57,806.52x = 86,715.58 × 15,687.26
  4. Step 4: Simplify right side
    57,806.52x = 1,360,329,849.51
  5. Step 5: Solve for x
    x = 1,360,329,849.51/57,806.52
  6. Step 6: Final answer
    x = 23,532.46

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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.