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Finding the Fourth Proportional to 77,900.70, 116,866.76 and 24,601

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Solution

The fourth proportional to 77,900.70, 116,866.76 and 24,601 is: 36,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,900.70 : 116,866.76 = 24,601 : x
  2. Step 2: Convert to fraction form
    77,900.70/116,866.76 = 24,601/x
  3. Step 3: Cross multiply
    77,900.70x = 116,866.76 × 24,601
  4. Step 4: Simplify right side
    77,900.70x = 2,875,039,162.76
  5. Step 5: Solve for x
    x = 2,875,039,162.76/77,900.70
  6. Step 6: Final answer
    x = 36,906.46

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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.