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Finding the Fourth Proportional to 51,413, 70,950.06 and 29,057

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Solution

The fourth proportional to 51,413, 70,950.06 and 29,057 is: 40,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413 : 70,950.06 = 29,057 : x
  2. Step 2: Convert to fraction form
    51,413/70,950.06 = 29,057/x
  3. Step 3: Cross multiply
    51,413x = 70,950.06 × 29,057
  4. Step 4: Simplify right side
    51,413x = 2,061,595,893.42
  5. Step 5: Solve for x
    x = 2,061,595,893.42/51,413
  6. Step 6: Final answer
    x = 40,098.73

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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.