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Finding the Fourth Proportional to 51,312.56, 76,954.72 and 17,578.08

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Solution

The fourth proportional to 51,312.56, 76,954.72 and 17,578.08 is: 26,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,312.56 : 76,954.72 = 17,578.08 : x
  2. Step 2: Convert to fraction form
    51,312.56/76,954.72 = 17,578.08/x
  3. Step 3: Cross multiply
    51,312.56x = 76,954.72 × 17,578.08
  4. Step 4: Simplify right side
    51,312.56x = 1,352,716,224.54
  5. Step 5: Solve for x
    x = 1,352,716,224.54/51,312.56
  6. Step 6: Final answer
    x = 26,362.28

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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.