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Finding the Fourth Proportional to 77,351.90, 116,035.94 and 32,983.34

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Solution

The fourth proportional to 77,351.90, 116,035.94 and 32,983.34 is: 49,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,351.90 : 116,035.94 = 32,983.34 : x
  2. Step 2: Convert to fraction form
    77,351.90/116,035.94 = 32,983.34/x
  3. Step 3: Cross multiply
    77,351.90x = 116,035.94 × 32,983.34
  4. Step 4: Simplify right side
    77,351.90x = 3,827,252,363.52
  5. Step 5: Solve for x
    x = 3,827,252,363.52/77,351.90
  6. Step 6: Final answer
    x = 49,478.46

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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.