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Finding the Fourth Proportional to 94,084.60, 129,838.22 and 51,647

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Solution

The fourth proportional to 94,084.60, 129,838.22 and 51,647 is: 71,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,084.60 : 129,838.22 = 51,647 : x
  2. Step 2: Convert to fraction form
    94,084.60/129,838.22 = 51,647/x
  3. Step 3: Cross multiply
    94,084.60x = 129,838.22 × 51,647
  4. Step 4: Simplify right side
    94,084.60x = 6,705,754,548.34
  5. Step 5: Solve for x
    x = 6,705,754,548.34/94,084.60
  6. Step 6: Final answer
    x = 71,273.67

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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.