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Finding the Fourth Proportional to 82,045.89, 113,223.39 and 44,320.14

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Solution

The fourth proportional to 82,045.89, 113,223.39 and 44,320.14 is: 61,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,045.89 : 113,223.39 = 44,320.14 : x
  2. Step 2: Convert to fraction form
    82,045.89/113,223.39 = 44,320.14/x
  3. Step 3: Cross multiply
    82,045.89x = 113,223.39 × 44,320.14
  4. Step 4: Simplify right side
    82,045.89x = 5,018,076,496.07
  5. Step 5: Solve for x
    x = 5,018,076,496.07/82,045.89
  6. Step 6: Final answer
    x = 61,161.83

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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.