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Finding the Fourth Proportional to 51,883.88, 77,708.70 and 31,063.40

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Solution

The fourth proportional to 51,883.88, 77,708.70 and 31,063.40 is: 46,524.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.88 : 77,708.70 = 31,063.40 : x
  2. Step 2: Convert to fraction form
    51,883.88/77,708.70 = 31,063.40/x
  3. Step 3: Cross multiply
    51,883.88x = 77,708.70 × 31,063.40
  4. Step 4: Simplify right side
    51,883.88x = 2,413,896,431.58
  5. Step 5: Solve for x
    x = 2,413,896,431.58/51,883.88
  6. Step 6: Final answer
    x = 46,524.98

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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.