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Finding the Fourth Proportional to 82,376.76, 113,679.80 and 44,651.02

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Solution

The fourth proportional to 82,376.76, 113,679.80 and 44,651.02 is: 61,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,376.76 : 113,679.80 = 44,651.02 : x
  2. Step 2: Convert to fraction form
    82,376.76/113,679.80 = 44,651.02/x
  3. Step 3: Cross multiply
    82,376.76x = 113,679.80 × 44,651.02
  4. Step 4: Simplify right side
    82,376.76x = 5,075,919,023.40
  5. Step 5: Solve for x
    x = 5,075,919,023.40/82,376.76
  6. Step 6: Final answer
    x = 61,618.34

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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.