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Finding the Fourth Proportional to 49,984.04, 68,978.97 and 27,322.40

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Solution

The fourth proportional to 49,984.04, 68,978.97 and 27,322.40 is: 37,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984.04 : 68,978.97 = 27,322.40 : x
  2. Step 2: Convert to fraction form
    49,984.04/68,978.97 = 27,322.40/x
  3. Step 3: Cross multiply
    49,984.04x = 68,978.97 × 27,322.40
  4. Step 4: Simplify right side
    49,984.04x = 1,884,671,182.38
  5. Step 5: Solve for x
    x = 1,884,671,182.38/49,984.04
  6. Step 6: Final answer
    x = 37,705.46

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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.