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Finding the Fourth Proportional to 74,217, 102,419.82 and 44,409

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Solution

The fourth proportional to 74,217, 102,419.82 and 44,409 is: 61,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,217 : 102,419.82 = 44,409 : x
  2. Step 2: Convert to fraction form
    74,217/102,419.82 = 44,409/x
  3. Step 3: Cross multiply
    74,217x = 102,419.82 × 44,409
  4. Step 4: Simplify right side
    74,217x = 4,548,361,786.38
  5. Step 5: Solve for x
    x = 4,548,361,786.38/74,217
  6. Step 6: Final answer
    x = 61,284.64

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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.