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Finding the Fourth Proportional to 35,615.38, 49,148.25 and 19,699.30

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Solution

The fourth proportional to 35,615.38, 49,148.25 and 19,699.30 is: 27,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,615.38 : 49,148.25 = 19,699.30 : x
  2. Step 2: Convert to fraction form
    35,615.38/49,148.25 = 19,699.30/x
  3. Step 3: Cross multiply
    35,615.38x = 49,148.25 × 19,699.30
  4. Step 4: Simplify right side
    35,615.38x = 968,186,121.23
  5. Step 5: Solve for x
    x = 968,186,121.23/35,615.38
  6. Step 6: Final answer
    x = 27,184.50

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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.