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Finding the Fourth Proportional to 82,375, 113,677.74 and 44,649.40

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Solution

The fourth proportional to 82,375, 113,677.74 and 44,649.40 is: 61,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,375 : 113,677.74 = 44,649.40 : x
  2. Step 2: Convert to fraction form
    82,375/113,677.74 = 44,649.40/x
  3. Step 3: Cross multiply
    82,375x = 113,677.74 × 44,649.40
  4. Step 4: Simplify right side
    82,375x = 5,075,642,884.36
  5. Step 5: Solve for x
    x = 5,075,642,884.36/82,375
  6. Step 6: Final answer
    x = 61,616.30

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