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Finding the Fourth Proportional to 76,805, 105,991.94 and 43,271.08

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Solution

The fourth proportional to 76,805, 105,991.94 and 43,271.08 is: 59,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,805 : 105,991.94 = 43,271.08 : x
  2. Step 2: Convert to fraction form
    76,805/105,991.94 = 43,271.08/x
  3. Step 3: Cross multiply
    76,805x = 105,991.94 × 43,271.08
  4. Step 4: Simplify right side
    76,805x = 4,586,385,715.10
  5. Step 5: Solve for x
    x = 4,586,385,715.10/76,805
  6. Step 6: Final answer
    x = 59,714.68

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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.