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Finding the Fourth Proportional to 51,230.94, 76,809.06 and 34,549.53

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Solution

The fourth proportional to 51,230.94, 76,809.06 and 34,549.53 is: 51,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,230.94 : 76,809.06 = 34,549.53 : x
  2. Step 2: Convert to fraction form
    51,230.94/76,809.06 = 34,549.53/x
  3. Step 3: Cross multiply
    51,230.94x = 76,809.06 × 34,549.53
  4. Step 4: Simplify right side
    51,230.94x = 2,653,716,922.74
  5. Step 5: Solve for x
    x = 2,653,716,922.74/51,230.94
  6. Step 6: Final answer
    x = 51,799.11

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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.