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Finding the Fourth Proportional to 51,825.78, 77,750.01 and 16,764.93

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Solution

The fourth proportional to 51,825.78, 77,750.01 and 16,764.93 is: 25,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825.78 : 77,750.01 = 16,764.93 : x
  2. Step 2: Convert to fraction form
    51,825.78/77,750.01 = 16,764.93/x
  3. Step 3: Cross multiply
    51,825.78x = 77,750.01 × 16,764.93
  4. Step 4: Simplify right side
    51,825.78x = 1,303,473,475.15
  5. Step 5: Solve for x
    x = 1,303,473,475.15/51,825.78
  6. Step 6: Final answer
    x = 25,151.06

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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.