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Finding the Fourth Proportional to 62,564.22, 86,342.31 and 35,715.38

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Solution

The fourth proportional to 62,564.22, 86,342.31 and 35,715.38 is: 49,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,564.22 : 86,342.31 = 35,715.38 : x
  2. Step 2: Convert to fraction form
    62,564.22/86,342.31 = 35,715.38/x
  3. Step 3: Cross multiply
    62,564.22x = 86,342.31 × 35,715.38
  4. Step 4: Simplify right side
    62,564.22x = 3,083,747,980.02
  5. Step 5: Solve for x
    x = 3,083,747,980.02/62,564.22
  6. Step 6: Final answer
    x = 49,289.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.