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Finding the Fourth Proportional to 35,836.84, 49,458.18 and 21,693.16

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Solution

The fourth proportional to 35,836.84, 49,458.18 and 21,693.16 is: 29,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,836.84 : 49,458.18 = 21,693.16 : x
  2. Step 2: Convert to fraction form
    35,836.84/49,458.18 = 21,693.16/x
  3. Step 3: Cross multiply
    35,836.84x = 49,458.18 × 21,693.16
  4. Step 4: Simplify right side
    35,836.84x = 1,072,904,212.05
  5. Step 5: Solve for x
    x = 1,072,904,212.05/35,836.84
  6. Step 6: Final answer
    x = 29,938.58

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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.