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Finding the Fourth Proportional to 74,113.38, 102,191.83 and 59,006.68

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Solution

The fourth proportional to 74,113.38, 102,191.83 and 59,006.68 is: 81,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,113.38 : 102,191.83 = 59,006.68 : x
  2. Step 2: Convert to fraction form
    74,113.38/102,191.83 = 59,006.68/x
  3. Step 3: Cross multiply
    74,113.38x = 102,191.83 × 59,006.68
  4. Step 4: Simplify right side
    74,113.38x = 6,030,000,208.43
  5. Step 5: Solve for x
    x = 6,030,000,208.43/74,113.38
  6. Step 6: Final answer
    x = 81,361.83

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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.