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Finding the Fourth Proportional to 83,333.44, 114,999.60 and 45,607.60

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Solution

The fourth proportional to 83,333.44, 114,999.60 and 45,607.60 is: 62,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,333.44 : 114,999.60 = 45,607.60 : x
  2. Step 2: Convert to fraction form
    83,333.44/114,999.60 = 45,607.60/x
  3. Step 3: Cross multiply
    83,333.44x = 114,999.60 × 45,607.60
  4. Step 4: Simplify right side
    83,333.44x = 5,244,855,756.96
  5. Step 5: Solve for x
    x = 5,244,855,756.96/83,333.44
  6. Step 6: Final answer
    x = 62,938.19

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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.