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Finding the Fourth Proportional to 52,099, 71,898.09 and 29,438.95

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Solution

The fourth proportional to 52,099, 71,898.09 and 29,438.95 is: 40,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099 : 71,898.09 = 29,438.95 : x
  2. Step 2: Convert to fraction form
    52,099/71,898.09 = 29,438.95/x
  3. Step 3: Cross multiply
    52,099x = 71,898.09 × 29,438.95
  4. Step 4: Simplify right side
    52,099x = 2,116,604,276.61
  5. Step 5: Solve for x
    x = 2,116,604,276.61/52,099
  6. Step 6: Final answer
    x = 40,626.58

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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.