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Finding the Fourth Proportional to 51,369.84, 77,065.20 and 29,193.84

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Solution

The fourth proportional to 51,369.84, 77,065.20 and 29,193.84 is: 43,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,369.84 : 77,065.20 = 29,193.84 : x
  2. Step 2: Convert to fraction form
    51,369.84/77,065.20 = 29,193.84/x
  3. Step 3: Cross multiply
    51,369.84x = 77,065.20 × 29,193.84
  4. Step 4: Simplify right side
    51,369.84x = 2,249,829,118.37
  5. Step 5: Solve for x
    x = 2,249,829,118.37/51,369.84
  6. Step 6: Final answer
    x = 43,796.69

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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.