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Finding the Fourth Proportional to 76,471.29, 114,706.94 and 23,885.28

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Solution

The fourth proportional to 76,471.29, 114,706.94 and 23,885.28 is: 35,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.29 : 114,706.94 = 23,885.28 : x
  2. Step 2: Convert to fraction form
    76,471.29/114,706.94 = 23,885.28/x
  3. Step 3: Cross multiply
    76,471.29x = 114,706.94 × 23,885.28
  4. Step 4: Simplify right side
    76,471.29x = 2,739,807,260.42
  5. Step 5: Solve for x
    x = 2,739,807,260.42/76,471.29
  6. Step 6: Final answer
    x = 35,827.92

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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.