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Finding the Fourth Proportional to 77,370.66, 116,017.11 and 35,846.82

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Solution

The fourth proportional to 77,370.66, 116,017.11 and 35,846.82 is: 53,752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,370.66 : 116,017.11 = 35,846.82 : x
  2. Step 2: Convert to fraction form
    77,370.66/116,017.11 = 35,846.82/x
  3. Step 3: Cross multiply
    77,370.66x = 116,017.11 × 35,846.82
  4. Step 4: Simplify right side
    77,370.66x = 4,158,844,459.09
  5. Step 5: Solve for x
    x = 4,158,844,459.09/77,370.66
  6. Step 6: Final answer
    x = 53,752.22

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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.