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Finding the Fourth Proportional to 51,197.88, 70,653.42 and 29,977.50

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Solution

The fourth proportional to 51,197.88, 70,653.42 and 29,977.50 is: 41,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,197.88 : 70,653.42 = 29,977.50 : x
  2. Step 2: Convert to fraction form
    51,197.88/70,653.42 = 29,977.50/x
  3. Step 3: Cross multiply
    51,197.88x = 70,653.42 × 29,977.50
  4. Step 4: Simplify right side
    51,197.88x = 2,118,012,898.05
  5. Step 5: Solve for x
    x = 2,118,012,898.05/51,197.88
  6. Step 6: Final answer
    x = 41,369.15

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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.