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Finding the Fourth Proportional to 49,786.32, 68,705.08 and 27,430.32

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Solution

The fourth proportional to 49,786.32, 68,705.08 and 27,430.32 is: 37,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,786.32 : 68,705.08 = 27,430.32 : x
  2. Step 2: Convert to fraction form
    49,786.32/68,705.08 = 27,430.32/x
  3. Step 3: Cross multiply
    49,786.32x = 68,705.08 × 27,430.32
  4. Step 4: Simplify right side
    49,786.32x = 1,884,602,330.03
  5. Step 5: Solve for x
    x = 1,884,602,330.03/49,786.32
  6. Step 6: Final answer
    x = 37,853.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.