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Finding the Fourth Proportional to 77,896.29, 116,871.57 and 24,596.49

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Solution

The fourth proportional to 77,896.29, 116,871.57 and 24,596.49 is: 36,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896.29 : 116,871.57 = 24,596.49 : x
  2. Step 2: Convert to fraction form
    77,896.29/116,871.57 = 24,596.49/x
  3. Step 3: Cross multiply
    77,896.29x = 116,871.57 × 24,596.49
  4. Step 4: Simplify right side
    77,896.29x = 2,874,630,402.79
  5. Step 5: Solve for x
    x = 2,874,630,402.79/77,896.29
  6. Step 6: Final answer
    x = 36,903.30

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Why These Related Problems?

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