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Finding the Fourth Proportional to 65,081.60, 97,637.41 and 27,642.88

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Solution

The fourth proportional to 65,081.60, 97,637.41 and 27,642.88 is: 41,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,081.60 : 97,637.41 = 27,642.88 : x
  2. Step 2: Convert to fraction form
    65,081.60/97,637.41 = 27,642.88/x
  3. Step 3: Cross multiply
    65,081.60x = 97,637.41 × 27,642.88
  4. Step 4: Simplify right side
    65,081.60x = 2,698,979,208.14
  5. Step 5: Solve for x
    x = 2,698,979,208.14/65,081.60
  6. Step 6: Final answer
    x = 41,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.