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Finding the Fourth Proportional to 57,804.19, 86,708.09 and 15,684.14

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Solution

The fourth proportional to 57,804.19, 86,708.09 and 15,684.14 is: 23,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,804.19 : 86,708.09 = 15,684.14 : x
  2. Step 2: Convert to fraction form
    57,804.19/86,708.09 = 15,684.14/x
  3. Step 3: Cross multiply
    57,804.19x = 86,708.09 × 15,684.14
  4. Step 4: Simplify right side
    57,804.19x = 1,359,942,078.67
  5. Step 5: Solve for x
    x = 1,359,942,078.67/57,804.19
  6. Step 6: Final answer
    x = 23,526.71

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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.