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Finding the Fourth Proportional to 83,283.20, 124,881.60 and 30,665.60

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Solution

The fourth proportional to 83,283.20, 124,881.60 and 30,665.60 is: 45,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.20 : 124,881.60 = 30,665.60 : x
  2. Step 2: Convert to fraction form
    83,283.20/124,881.60 = 30,665.60/x
  3. Step 3: Cross multiply
    83,283.20x = 124,881.60 × 30,665.60
  4. Step 4: Simplify right side
    83,283.20x = 3,829,569,192.96
  5. Step 5: Solve for x
    x = 3,829,569,192.96/83,283.20
  6. Step 6: Final answer
    x = 45,982.49

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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.