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Finding the Fourth Proportional to 74,584, 102,927.54 and 41,050

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Solution

The fourth proportional to 74,584, 102,927.54 and 41,050 is: 56,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,584 : 102,927.54 = 41,050 : x
  2. Step 2: Convert to fraction form
    74,584/102,927.54 = 41,050/x
  3. Step 3: Cross multiply
    74,584x = 102,927.54 × 41,050
  4. Step 4: Simplify right side
    74,584x = 4,225,175,517.00
  5. Step 5: Solve for x
    x = 4,225,175,517.00/74,584
  6. Step 6: Final answer
    x = 56,649.89

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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.