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Finding the Fourth Proportional to 77,896.30, 116,871.58 and 24,596.50

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Solution

The fourth proportional to 77,896.30, 116,871.58 and 24,596.50 is: 36,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896.30 : 116,871.58 = 24,596.50 : x
  2. Step 2: Convert to fraction form
    77,896.30/116,871.58 = 24,596.50/x
  3. Step 3: Cross multiply
    77,896.30x = 116,871.58 × 24,596.50
  4. Step 4: Simplify right side
    77,896.30x = 2,874,631,817.47
  5. Step 5: Solve for x
    x = 2,874,631,817.47/77,896.30
  6. Step 6: Final answer
    x = 36,903.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.