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Finding the Fourth Proportional to 49,322.81, 68,069.63 and 30,202.49

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Solution

The fourth proportional to 49,322.81, 68,069.63 and 30,202.49 is: 41,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322.81 : 68,069.63 = 30,202.49 : x
  2. Step 2: Convert to fraction form
    49,322.81/68,069.63 = 30,202.49/x
  3. Step 3: Cross multiply
    49,322.81x = 68,069.63 × 30,202.49
  4. Step 4: Simplify right side
    49,322.81x = 2,055,872,319.38
  5. Step 5: Solve for x
    x = 2,055,872,319.38/49,322.81
  6. Step 6: Final answer
    x = 41,681.98

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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.