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Finding the Fourth Proportional to 31,307.85, 46,994.58 and 16,512.80

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Solution

The fourth proportional to 31,307.85, 46,994.58 and 16,512.80 is: 24,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.85 : 46,994.58 = 16,512.80 : x
  2. Step 2: Convert to fraction form
    31,307.85/46,994.58 = 16,512.80/x
  3. Step 3: Cross multiply
    31,307.85x = 46,994.58 × 16,512.80
  4. Step 4: Simplify right side
    31,307.85x = 776,011,865.65
  5. Step 5: Solve for x
    x = 776,011,865.65/31,307.85
  6. Step 6: Final answer
    x = 24,786.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.