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Finding the Fourth Proportional to 82,477.76, 113,818.90 and 44,752

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Solution

The fourth proportional to 82,477.76, 113,818.90 and 44,752 is: 61,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,477.76 : 113,818.90 = 44,752 : x
  2. Step 2: Convert to fraction form
    82,477.76/113,818.90 = 44,752/x
  3. Step 3: Cross multiply
    82,477.76x = 113,818.90 × 44,752
  4. Step 4: Simplify right side
    82,477.76x = 5,093,623,412.80
  5. Step 5: Solve for x
    x = 5,093,623,412.80/82,477.76
  6. Step 6: Final answer
    x = 61,757.54

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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.