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Finding the Fourth Proportional to 55,933.97, 77,190.71 and 32,065.16

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Solution

The fourth proportional to 55,933.97, 77,190.71 and 32,065.16 is: 44,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,933.97 : 77,190.71 = 32,065.16 : x
  2. Step 2: Convert to fraction form
    55,933.97/77,190.71 = 32,065.16/x
  3. Step 3: Cross multiply
    55,933.97x = 77,190.71 × 32,065.16
  4. Step 4: Simplify right side
    55,933.97x = 2,475,131,920.38
  5. Step 5: Solve for x
    x = 2,475,131,920.38/55,933.97
  6. Step 6: Final answer
    x = 44,250.96

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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.