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Finding the Fourth Proportional to 77,898.70, 116,863.77 and 24,599

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Solution

The fourth proportional to 77,898.70, 116,863.77 and 24,599 is: 36,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,898.70 : 116,863.77 = 24,599 : x
  2. Step 2: Convert to fraction form
    77,898.70/116,863.77 = 24,599/x
  3. Step 3: Cross multiply
    77,898.70x = 116,863.77 × 24,599
  4. Step 4: Simplify right side
    77,898.70x = 2,874,731,755.24
  5. Step 5: Solve for x
    x = 2,874,731,755.24/77,898.70
  6. Step 6: Final answer
    x = 36,903.46

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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.