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Finding the Fourth Proportional to 51,712.80, 77,374.80 and 34,216.80

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Solution

The fourth proportional to 51,712.80, 77,374.80 and 34,216.80 is: 51,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,712.80 : 77,374.80 = 34,216.80 : x
  2. Step 2: Convert to fraction form
    51,712.80/77,374.80 = 34,216.80/x
  3. Step 3: Cross multiply
    51,712.80x = 77,374.80 × 34,216.80
  4. Step 4: Simplify right side
    51,712.80x = 2,647,518,056.64
  5. Step 5: Solve for x
    x = 2,647,518,056.64/51,712.80
  6. Step 6: Final answer
    x = 51,196.57

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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.