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Finding the Fourth Proportional to 61,434.94, 84,757.06 and 35,933.17

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Solution

The fourth proportional to 61,434.94, 84,757.06 and 35,933.17 is: 49,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,434.94 : 84,757.06 = 35,933.17 : x
  2. Step 2: Convert to fraction form
    61,434.94/84,757.06 = 35,933.17/x
  3. Step 3: Cross multiply
    61,434.94x = 84,757.06 × 35,933.17
  4. Step 4: Simplify right side
    61,434.94x = 3,045,589,543.95
  5. Step 5: Solve for x
    x = 3,045,589,543.95/61,434.94
  6. Step 6: Final answer
    x = 49,574.23

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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.