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Finding the Fourth Proportional to 51,687.84, 71,330.94 and 29,030.82

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Solution

The fourth proportional to 51,687.84, 71,330.94 and 29,030.82 is: 40,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,687.84 : 71,330.94 = 29,030.82 : x
  2. Step 2: Convert to fraction form
    51,687.84/71,330.94 = 29,030.82/x
  3. Step 3: Cross multiply
    51,687.84x = 71,330.94 × 29,030.82
  4. Step 4: Simplify right side
    51,687.84x = 2,070,795,534.42
  5. Step 5: Solve for x
    x = 2,070,795,534.42/51,687.84
  6. Step 6: Final answer
    x = 40,063.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.