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Finding the Fourth Proportional to 77,052.51, 115,578.77 and 51,694.25

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Solution

The fourth proportional to 77,052.51, 115,578.77 and 51,694.25 is: 77,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052.51 : 115,578.77 = 51,694.25 : x
  2. Step 2: Convert to fraction form
    77,052.51/115,578.77 = 51,694.25/x
  3. Step 3: Cross multiply
    77,052.51x = 115,578.77 × 51,694.25
  4. Step 4: Simplify right side
    77,052.51x = 5,974,756,994.71
  5. Step 5: Solve for x
    x = 5,974,756,994.71/77,052.51
  6. Step 6: Final answer
    x = 77,541.37

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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.