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Finding the Fourth Proportional to 82,461, 113,750.82 and 58,623.24

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Solution

The fourth proportional to 82,461, 113,750.82 and 58,623.24 is: 80,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,461 : 113,750.82 = 58,623.24 : x
  2. Step 2: Convert to fraction form
    82,461/113,750.82 = 58,623.24/x
  3. Step 3: Cross multiply
    82,461x = 113,750.82 × 58,623.24
  4. Step 4: Simplify right side
    82,461x = 6,668,441,621.06
  5. Step 5: Solve for x
    x = 6,668,441,621.06/82,461
  6. Step 6: Final answer
    x = 80,867.82

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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.