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Finding the Fourth Proportional to 74,999.46, 103,584.33 and 51,084.66

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Solution

The fourth proportional to 74,999.46, 103,584.33 and 51,084.66 is: 70,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,999.46 : 103,584.33 = 51,084.66 : x
  2. Step 2: Convert to fraction form
    74,999.46/103,584.33 = 51,084.66/x
  3. Step 3: Cross multiply
    74,999.46x = 103,584.33 × 51,084.66
  4. Step 4: Simplify right side
    74,999.46x = 5,291,570,279.38
  5. Step 5: Solve for x
    x = 5,291,570,279.38/74,999.46
  6. Step 6: Final answer
    x = 70,554.78

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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.