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Finding the Fourth Proportional to 51,377.46, 77,065.84 and 26,424.46

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Solution

The fourth proportional to 51,377.46, 77,065.84 and 26,424.46 is: 39,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,377.46 : 77,065.84 = 26,424.46 : x
  2. Step 2: Convert to fraction form
    51,377.46/77,065.84 = 26,424.46/x
  3. Step 3: Cross multiply
    51,377.46x = 77,065.84 × 26,424.46
  4. Step 4: Simplify right side
    51,377.46x = 2,036,423,206.45
  5. Step 5: Solve for x
    x = 2,036,423,206.45/51,377.46
  6. Step 6: Final answer
    x = 39,636.51

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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.