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Finding the Fourth Proportional to 77,626.40, 116,402.76 and 35,494

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Solution

The fourth proportional to 77,626.40, 116,402.76 and 35,494 is: 53,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,626.40 : 116,402.76 = 35,494 : x
  2. Step 2: Convert to fraction form
    77,626.40/116,402.76 = 35,494/x
  3. Step 3: Cross multiply
    77,626.40x = 116,402.76 × 35,494
  4. Step 4: Simplify right side
    77,626.40x = 4,131,599,563.44
  5. Step 5: Solve for x
    x = 4,131,599,563.44/77,626.40
  6. Step 6: Final answer
    x = 53,224.16

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Why These Related Problems?

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