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Finding the Fourth Proportional to 77,333.67, 106,727.96 and 43,347.93

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Solution

The fourth proportional to 77,333.67, 106,727.96 and 43,347.93 is: 59,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,333.67 : 106,727.96 = 43,347.93 : x
  2. Step 2: Convert to fraction form
    77,333.67/106,727.96 = 43,347.93/x
  3. Step 3: Cross multiply
    77,333.67x = 106,727.96 × 43,347.93
  4. Step 4: Simplify right side
    77,333.67x = 4,626,435,922.38
  5. Step 5: Solve for x
    x = 4,626,435,922.38/77,333.67
  6. Step 6: Final answer
    x = 59,824.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.