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Finding the Fourth Proportional to 51,356.76, 77,015.70 and 20,175

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Solution

The fourth proportional to 51,356.76, 77,015.70 and 20,175 is: 30,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,356.76 : 77,015.70 = 20,175 : x
  2. Step 2: Convert to fraction form
    51,356.76/77,015.70 = 20,175/x
  3. Step 3: Cross multiply
    51,356.76x = 77,015.70 × 20,175
  4. Step 4: Simplify right side
    51,356.76x = 1,553,791,747.50
  5. Step 5: Solve for x
    x = 1,553,791,747.50/51,356.76
  6. Step 6: Final answer
    x = 30,254.86

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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.