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Finding the Fourth Proportional to 82,525, 113,884.22 and 44,798.98

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Solution

The fourth proportional to 82,525, 113,884.22 and 44,798.98 is: 61,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,525 : 113,884.22 = 44,798.98 : x
  2. Step 2: Convert to fraction form
    82,525/113,884.22 = 44,798.98/x
  3. Step 3: Cross multiply
    82,525x = 113,884.22 × 44,798.98
  4. Step 4: Simplify right side
    82,525x = 5,101,896,894.10
  5. Step 5: Solve for x
    x = 5,101,896,894.10/82,525
  6. Step 6: Final answer
    x = 61,822.44

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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.