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Finding the Fourth Proportional to 57,684.79, 86,526.83 and 31,043.33

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Solution

The fourth proportional to 57,684.79, 86,526.83 and 31,043.33 is: 46,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684.79 : 86,526.83 = 31,043.33 : x
  2. Step 2: Convert to fraction form
    57,684.79/86,526.83 = 31,043.33/x
  3. Step 3: Cross multiply
    57,684.79x = 86,526.83 × 31,043.33
  4. Step 4: Simplify right side
    57,684.79x = 2,686,081,393.71
  5. Step 5: Solve for x
    x = 2,686,081,393.71/57,684.79
  6. Step 6: Final answer
    x = 46,564.81

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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.