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Finding the Fourth Proportional to 82,954.75, 124,418.46 and 35,577.50

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Solution

The fourth proportional to 82,954.75, 124,418.46 and 35,577.50 is: 53,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.75 : 124,418.46 = 35,577.50 : x
  2. Step 2: Convert to fraction form
    82,954.75/124,418.46 = 35,577.50/x
  3. Step 3: Cross multiply
    82,954.75x = 124,418.46 × 35,577.50
  4. Step 4: Simplify right side
    82,954.75x = 4,426,497,649.60
  5. Step 5: Solve for x
    x = 4,426,497,649.60/82,954.75
  6. Step 6: Final answer
    x = 53,360.39

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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.