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Finding the Fourth Proportional to 122,438.48, 183,644.76 and 39,326

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Solution

The fourth proportional to 122,438.48, 183,644.76 and 39,326 is: 58,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,438.48 : 183,644.76 = 39,326 : x
  2. Step 2: Convert to fraction form
    122,438.48/183,644.76 = 39,326/x
  3. Step 3: Cross multiply
    122,438.48x = 183,644.76 × 39,326
  4. Step 4: Simplify right side
    122,438.48x = 7,222,013,831.76
  5. Step 5: Solve for x
    x = 7,222,013,831.76/122,438.48
  6. Step 6: Final answer
    x = 58,984.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.