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Finding the Fourth Proportional to 74,103, 102,262.14 and 40,569

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Solution

The fourth proportional to 74,103, 102,262.14 and 40,569 is: 55,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,103 : 102,262.14 = 40,569 : x
  2. Step 2: Convert to fraction form
    74,103/102,262.14 = 40,569/x
  3. Step 3: Cross multiply
    74,103x = 102,262.14 × 40,569
  4. Step 4: Simplify right side
    74,103x = 4,148,672,757.66
  5. Step 5: Solve for x
    x = 4,148,672,757.66/74,103
  6. Step 6: Final answer
    x = 55,985.22

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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.