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Finding the Fourth Proportional to 51,460.68, 77,200.74 and 17,717.70

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Solution

The fourth proportional to 51,460.68, 77,200.74 and 17,717.70 is: 26,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460.68 : 77,200.74 = 17,717.70 : x
  2. Step 2: Convert to fraction form
    51,460.68/77,200.74 = 17,717.70/x
  3. Step 3: Cross multiply
    51,460.68x = 77,200.74 × 17,717.70
  4. Step 4: Simplify right side
    51,460.68x = 1,367,819,551.10
  5. Step 5: Solve for x
    x = 1,367,819,551.10/51,460.68
  6. Step 6: Final answer
    x = 26,579.90

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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.