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Finding the Fourth Proportional to 55,680.49, 83,902.75 and 46,035.82

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Solution

The fourth proportional to 55,680.49, 83,902.75 and 46,035.82 is: 69,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,680.49 : 83,902.75 = 46,035.82 : x
  2. Step 2: Convert to fraction form
    55,680.49/83,902.75 = 46,035.82/x
  3. Step 3: Cross multiply
    55,680.49x = 83,902.75 × 46,035.82
  4. Step 4: Simplify right side
    55,680.49x = 3,862,531,896.51
  5. Step 5: Solve for x
    x = 3,862,531,896.51/55,680.49
  6. Step 6: Final answer
    x = 69,369.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.