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Finding the Fourth Proportional to 51,625.84, 77,442.96 and 20,062

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Solution

The fourth proportional to 51,625.84, 77,442.96 and 20,062 is: 30,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,625.84 : 77,442.96 = 20,062 : x
  2. Step 2: Convert to fraction form
    51,625.84/77,442.96 = 20,062/x
  3. Step 3: Cross multiply
    51,625.84x = 77,442.96 × 20,062
  4. Step 4: Simplify right side
    51,625.84x = 1,553,660,663.52
  5. Step 5: Solve for x
    x = 1,553,660,663.52/51,625.84
  6. Step 6: Final answer
    x = 30,094.63

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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.