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Finding the Fourth Proportional to 35,818.34, 49,428.32 and 19,902.38

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Solution

The fourth proportional to 35,818.34, 49,428.32 and 19,902.38 is: 27,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,818.34 : 49,428.32 = 19,902.38 : x
  2. Step 2: Convert to fraction form
    35,818.34/49,428.32 = 19,902.38/x
  3. Step 3: Cross multiply
    35,818.34x = 49,428.32 × 19,902.38
  4. Step 4: Simplify right side
    35,818.34x = 983,740,860.75
  5. Step 5: Solve for x
    x = 983,740,860.75/35,818.34
  6. Step 6: Final answer
    x = 27,464.73

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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.