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Finding the Fourth Proportional to 77,000.56, 115,504.95 and 24,414.16

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Solution

The fourth proportional to 77,000.56, 115,504.95 and 24,414.16 is: 36,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,000.56 : 115,504.95 = 24,414.16 : x
  2. Step 2: Convert to fraction form
    77,000.56/115,504.95 = 24,414.16/x
  3. Step 3: Cross multiply
    77,000.56x = 115,504.95 × 24,414.16
  4. Step 4: Simplify right side
    77,000.56x = 2,819,956,330.09
  5. Step 5: Solve for x
    x = 2,819,956,330.09/77,000.56
  6. Step 6: Final answer
    x = 36,622.54

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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.