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Finding the Fourth Proportional to 51,788.77, 77,694.54 and 30,748.01

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Solution

The fourth proportional to 51,788.77, 77,694.54 and 30,748.01 is: 46,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,788.77 : 77,694.54 = 30,748.01 : x
  2. Step 2: Convert to fraction form
    51,788.77/77,694.54 = 30,748.01/x
  3. Step 3: Cross multiply
    51,788.77x = 77,694.54 × 30,748.01
  4. Step 4: Simplify right side
    51,788.77x = 2,388,952,104.39
  5. Step 5: Solve for x
    x = 2,388,952,104.39/51,788.77
  6. Step 6: Final answer
    x = 46,128.77

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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.