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Finding the Fourth Proportional to 77,970.97, 116,859.32 and 35,806.22

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Solution

The fourth proportional to 77,970.97, 116,859.32 and 35,806.22 is: 53,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.97 : 116,859.32 = 35,806.22 : x
  2. Step 2: Convert to fraction form
    77,970.97/116,859.32 = 35,806.22/x
  3. Step 3: Cross multiply
    77,970.97x = 116,859.32 × 35,806.22
  4. Step 4: Simplify right side
    77,970.97x = 4,184,289,757.64
  5. Step 5: Solve for x
    x = 4,184,289,757.64/77,970.97
  6. Step 6: Final answer
    x = 53,664.72

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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.