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Finding the Fourth Proportional to 82,342.30, 113,632.86 and 44,616.58

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Solution

The fourth proportional to 82,342.30, 113,632.86 and 44,616.58 is: 61,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342.30 : 113,632.86 = 44,616.58 : x
  2. Step 2: Convert to fraction form
    82,342.30/113,632.86 = 44,616.58/x
  3. Step 3: Cross multiply
    82,342.30x = 113,632.86 × 44,616.58
  4. Step 4: Simplify right side
    82,342.30x = 5,069,909,588.82
  5. Step 5: Solve for x
    x = 5,069,909,588.82/82,342.30
  6. Step 6: Final answer
    x = 61,571.14

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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.