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Finding the Fourth Proportional to 51,822.60, 77,714.70 and 16,763.40

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Solution

The fourth proportional to 51,822.60, 77,714.70 and 16,763.40 is: 25,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822.60 : 77,714.70 = 16,763.40 : x
  2. Step 2: Convert to fraction form
    51,822.60/77,714.70 = 16,763.40/x
  3. Step 3: Cross multiply
    51,822.60x = 77,714.70 × 16,763.40
  4. Step 4: Simplify right side
    51,822.60x = 1,302,762,601.98
  5. Step 5: Solve for x
    x = 1,302,762,601.98/51,822.60
  6. Step 6: Final answer
    x = 25,138.89

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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.