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Finding the Fourth Proportional to 102,504.70, 153,731.53 and 35,947

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Solution

The fourth proportional to 102,504.70, 153,731.53 and 35,947 is: 53,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504.70 : 153,731.53 = 35,947 : x
  2. Step 2: Convert to fraction form
    102,504.70/153,731.53 = 35,947/x
  3. Step 3: Cross multiply
    102,504.70x = 153,731.53 × 35,947
  4. Step 4: Simplify right side
    102,504.70x = 5,526,187,308.91
  5. Step 5: Solve for x
    x = 5,526,187,308.91/102,504.70
  6. Step 6: Final answer
    x = 53,911.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.