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Finding the Fourth Proportional to 65,653.51, 98,472.05 and 18,272.16

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Solution

The fourth proportional to 65,653.51, 98,472.05 and 18,272.16 is: 27,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.51 : 98,472.05 = 18,272.16 : x
  2. Step 2: Convert to fraction form
    65,653.51/98,472.05 = 18,272.16/x
  3. Step 3: Cross multiply
    65,653.51x = 98,472.05 × 18,272.16
  4. Step 4: Simplify right side
    65,653.51x = 1,799,296,469.41
  5. Step 5: Solve for x
    x = 1,799,296,469.41/65,653.51
  6. Step 6: Final answer
    x = 27,405.94

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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.